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56570106144 = 25328314391447
BaseRepresentation
bin110100101011110101…
…110101000100100000
312102000110122010220110
4310223311311010200
51411323421344034
641553221411320
74041600653106
oct645365650440
9172013563813
1056570106144
1121a9a394042
12ab69269b40
135446c987b6
142a49143c76
151711592de9
hexd2bd75120

56570106144 has 96 divisors (see below), whose sum is σ = 149227868160. Its totient is φ = 18764036352.

The previous prime is 56570106137. The next prime is 56570106149. The reversal of 56570106144 is 44160107565.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (56570106149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39094029 + ... + 39095475.

It is an arithmetic number, because the mean of its divisors is an integer number (1554456960).

Almost surely, 256570106144 is an apocalyptic number.

It is an amenable number.

56570106144 is an abundant number, since it is smaller than the sum of its proper divisors (92657762016).

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

56570106144 is a wasteful number, since it uses less digits than its factorization.

56570106144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3182 (or 3174 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The spelling of 56570106144 in words is "fifty-six billion, five hundred seventy million, one hundred six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 283 566 849 1132 1439 1447 1698 2264 2878 2894 3396 4317 4341 4528 5756 5788 6792 8634 8682 9056 11512 11576 13584 17268 17364 23024 23152 27168 34536 34728 46048 46304 69072 69456 138144 138912 407237 409501 814474 819002 1221711 1228503 1628948 1638004 2082233 2443422 2457006 3257896 3276008 4164466 4886844 4914012 6246699 6515792 6552016 8328932 9773688 9828024 12493398 13031584 13104032 16657864 19547376 19656048 24986796 33315728 39094752 39312096 49973592 66631456 99947184 199894368 589271939 1178543878 1767815817 2357087756 3535631634 4714175512 7071263268 9428351024 14142526536 18856702048 28285053072 56570106144