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313728975936 = 2632544668361
BaseRepresentation
bin1001001000010111011…
…01000100010001000000
31002222210022102021012100
410210023231010101000
520120004104212221
6400043004430400
731444332203265
oct4441355042100
91088708367170
10313728975936
11111062912102
1250977248400
132377a2467cc
141128262926c
158262b08926
hex490bb44440

313728975936 has 42 divisors (see below), whose sum is σ = 899247465662. Its totient is φ = 104576325120.

The previous prime is 313728975929. The next prime is 313728975977. The reversal of 313728975936 is 639579827313.

313728975936 is a `hidden beast` number, since 3 + 1 + 37 + 2 + 8 + 9 + 7 + 593 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 174790886400 + 138938089536 = 418080^2 + 372744^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 272333605 + ... + 272334756.

Almost surely, 2313728975936 is an apocalyptic number.

313728975936 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

313728975936 is an abundant number, since it is smaller than the sum of its proper divisors (585518489726).

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

313728975936 is a wasteful number, since it uses less digits than its factorization.

313728975936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544668379 (or 544668366 counting only the distinct ones).

The product of its digits is 51438240, while the sum is 63.

The spelling of 313728975936 in words is "three hundred thirteen billion, seven hundred twenty-eight million, nine hundred seventy-five thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 544668361 1089336722 1634005083 2178673444 3268010166 4357346888 4902015249 6536020332 8714693776 9804030498 13072040664 17429387552 19608060996 26144081328 34858775104 39216121992 52288162656 78432243984 104576325312 156864487968 313728975936