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57399113664 = 2632571117449
BaseRepresentation
bin110101011101010000…
…001111011111000000
312111011020120002102200
4311131100033133000
51420023133114124
642211354113200
74101255262464
oct653520173700
9174136502380
1057399113664
1122385337722
12b15aa1b800
1355499669a9
142ac72a04a4
15175e249bc9
hexd5d40f7c0

57399113664 has 84 divisors (see below), whose sum is σ = 164562434400. Its totient is φ = 19128591360.

The previous prime is 57399113593. The next prime is 57399113669. The reversal of 57399113664 is 46631199375.

57399113664 is a `hidden beast` number, since 573 + 9 + 9 + 1 + 1 + 3 + 6 + 64 = 666.

57399113664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 57399113664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57399113669) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3280812 + ... + 3298260.

It is an arithmetic number, because the mean of its divisors is an integer number (1959076600).

Almost surely, 257399113664 is an apocalyptic number.

It is an amenable number.

57399113664 is an abundant number, since it is smaller than the sum of its proper divisors (107163320736).

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

57399113664 is a wasteful number, since it uses less digits than its factorization.

57399113664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23178 (or 23165 counting only the distinct ones).

The product of its digits is 3674160, while the sum is 54.

The spelling of 57399113664 in words is "fifty-seven billion, three hundred ninety-nine million, one hundred thirteen thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 5711 11422 17133 17449 22844 34266 34898 45688 51399 52347 68532 69796 91376 102798 104694 137064 139592 157041 182752 205596 209388 274128 279184 314082 365504 411192 418776 548256 558368 628164 822384 837552 1096512 1116736 1256328 1644768 1675104 2512656 3289536 3350208 5025312 10050624 99651239 199302478 298953717 398604956 597907434 797209912 896861151 1195814868 1594419824 1793722302 2391629736 3188839648 3587444604 4783259472 6377679296 7174889208 9566518944 14349778416 19133037888 28699556832 57399113664