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11957568714 = 23271331123473
BaseRepresentation
bin10110010001011101…
…00000010011001010
31010212100021102120100
423020232200103022
5143442114144324
65254312110230
7602214441240
oct131056402312
933770242510
1011957568714
1150868103a3
122398695376
131187429460
14816134790
1549eb8d4c9
hex2c8ba04ca

11957568714 has 96 divisors (see below), whose sum is σ = 31990742784. Its totient is φ = 3143370240.

The previous prime is 11957568683. The next prime is 11957568761. The reversal of 11957568714 is 41786575911.

11957568714 is a `hidden beast` number, since 1 + 1 + 9 + 5 + 7 + 568 + 71 + 4 = 666.

It is a super-2 number, since 2×119575687142 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 497682 + ... + 521154.

It is an arithmetic number, because the mean of its divisors is an integer number (333236904).

Almost surely, 211957568714 is an apocalyptic number.

11957568714 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11957568714, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15995371392).

11957568714 is an abundant number, since it is smaller than the sum of its proper divisors (20033174070).

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

11957568714 is a wasteful number, since it uses less digits than its factorization.

11957568714 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23812 (or 23809 counting only the distinct ones).

The product of its digits is 2116800, while the sum is 54.

The spelling of 11957568714 in words is "eleven billion, nine hundred fifty-seven million, five hundred sixty-eight thousand, seven hundred fourteen".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 182 234 273 311 546 622 819 933 1638 1866 2177 2799 4043 4354 5598 6531 8086 12129 13062 19593 23473 24258 28301 36387 39186 46946 56602 70419 72774 84903 140838 164311 169806 211257 254709 305149 328622 422514 492933 509418 610298 915447 985866 1478799 1830894 2136043 2746341 2957598 4272086 5492682 6408129 7300103 12816258 14600206 19224387 21900309 38448774 43800618 51100721 65700927 94901339 102201442 131401854 153302163 189802678 284704017 306604326 459906489 569408034 664309373 854112051 919812978 1328618746 1708224102 1992928119 3985856238 5978784357 11957568714