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5022367416 = 2334113731889
BaseRepresentation
bin1001010110101101…
…10011111010111000
3110222000110200220000
410223112303322320
540241211224131
62150210433000
7235313263413
oct45326637270
913860420800
105022367416
112147aa4a80
12b81b92760
13620690751
14359044b7a
151e5dc3ce6
hex12b5b3eb8

5022367416 has 160 divisors (see below), whose sum is σ = 15395410800. Its totient is φ = 1517045760.

The previous prime is 5022367411. The next prime is 5022367417. The reversal of 5022367416 is 6147632205.

5022367416 is a `hidden beast` number, since 5 + 0 + 2 + 236 + 7 + 416 = 666.

It is a super-3 number, since 3×50223674163 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5022367411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2657800 + ... + 2659688.

Almost surely, 25022367416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5022367416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7697705400).

5022367416 is an abundant number, since it is smaller than the sum of its proper divisors (10373043384).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5022367416 is a wasteful number, since it uses less digits than its factorization.

5022367416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2291 (or 2278 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 5022367416 is about 70868.6631452859. The cubic root of 5022367416 is about 1712.5220034184.

The spelling of 5022367416 in words is "five billion, twenty-two million, three hundred sixty-seven thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 132 162 198 216 264 297 324 373 396 594 648 746 792 891 1119 1188 1492 1782 1889 2238 2376 2984 3357 3564 3778 4103 4476 5667 6714 7128 7556 8206 8952 10071 11334 12309 13428 15112 16412 17001 20142 20779 22668 24618 26856 30213 32824 34002 36927 40284 41558 45336 49236 51003 60426 62337 68004 73854 80568 83116 98472 102006 110781 120852 124674 136008 147708 153009 166232 187011 204012 221562 241704 249348 295416 306018 332343 374022 408024 443124 498696 561033 612036 664686 704597 748044 886248 1122066 1224072 1329372 1409194 1496088 1683099 2113791 2244132 2658744 2818388 3366198 4227582 4488264 5636776 6341373 6732396 7750567 8455164 12682746 13464792 15501134 16910328 19024119 23251701 25365492 31002268 38048238 46503402 50730984 57072357 62004536 69755103 76096476 93006804 114144714 139510206 152192952 186013608 209265309 228289428 279020412 418530618 456578856 558040824 627795927 837061236 1255591854 1674122472 2511183708 5022367416