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5345521456 = 2411315411811
BaseRepresentation
bin1001111101001111…
…00010111100110000
3111210112112121220011
410332213202330300
541421423141311
62242233024304
7246316116442
oct47647427460
914715477804
105345521456
1122a3453430
121052255094
13672607462
14389d24492
15214458321
hex13e9e2f30

5345521456 has 80 divisors (see below), whose sum is σ = 11690966016. Its totient is φ = 2345760000.

The previous prime is 5345521451. The next prime is 5345521469. The reversal of 5345521456 is 6541255435.

It is not an unprimeable number, because it can be changed into a prime (5345521451) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2950791 + ... + 2952601.

Almost surely, 25345521456 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 5345521456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5845483008).

5345521456 is an abundant number, since it is smaller than the sum of its proper divisors (6345444560).

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

5345521456 is a wasteful number, since it uses less digits than its factorization.

5345521456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2402 (or 2396 counting only the distinct ones).

The product of its digits is 360000, while the sum is 40.

The square root of 5345521456 is about 73113.0730854613. The cubic root of 5345521456 is about 1748.4908301574.

The spelling of 5345521456 in words is "five billion, three hundred forty-five million, five hundred twenty-one thousand, four hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 31 44 62 88 124 176 248 341 496 541 682 1082 1364 1811 2164 2728 3622 4328 5456 5951 7244 8656 11902 14488 16771 19921 23804 28976 33542 39842 47608 56141 67084 79684 95216 112282 134168 159368 184481 224564 268336 318736 368962 449128 617551 737924 898256 979751 1235102 1475848 1959502 2470204 2951696 3919004 4940408 7838008 9880816 10777261 15676016 21554522 30372281 43109044 60744562 86218088 121489124 172436176 242978248 334095091 485956496 668190182 1336380364 2672760728 5345521456