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2116777308 = 22319231033919
BaseRepresentation
bin111111000101011…
…0111010101011100
312110112002102120120
41332022313111130
513313343333213
6550013514540
7103312211262
oct17612672534
95415072516
102116777308
11996958138
124b0aa2a50
13279713469
141611b6432
15c5c7d423
hex7e2b755c

2116777308 has 96 divisors (see below), whose sum is σ = 5479219200. Its totient is φ = 633023424.

The previous prime is 2116777307. The next prime is 2116777319. The reversal of 2116777308 is 8037776112.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2116777308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2116777307) 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 31 ways as a sum of consecutive naturals, for example, 538173 + ... + 542091.

It is an arithmetic number, because the mean of its divisors is an integer number (57075200).

Almost surely, 22116777308 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 2116777308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2739609600).

2116777308 is an abundant number, since it is smaller than the sum of its proper divisors (3362441892).

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

2116777308 is a wasteful number, since it uses less digits than its factorization.

2116777308 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4071 (or 4069 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 42.

The square root of 2116777308 is about 46008.4482242120. The cubic root of 2116777308 is about 1283.9803885748.

The spelling of 2116777308 in words is "two billion, one hundred sixteen million, seven hundred seventy-seven thousand, three hundred eight".

Divisors: 1 2 3 4 6 12 19 23 38 46 57 69 76 92 103 114 138 206 228 276 309 412 437 618 874 1236 1311 1748 1957 2369 2622 3914 3919 4738 5244 5871 7107 7828 7838 9476 11742 11757 14214 15676 23484 23514 28428 45011 47028 74461 90022 90137 135033 148922 180044 180274 223383 270066 270411 297844 360548 403657 446766 540132 540822 807314 893532 1081644 1210971 1614628 1712603 2421942 3425206 4843884 5137809 6850412 7669483 9284111 10275618 15338966 18568222 20551236 23008449 27852333 30677932 37136444 46016898 55704666 92033796 111409332 176398109 352796218 529194327 705592436 1058388654 2116777308