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56615088420 = 2232511163717467
BaseRepresentation
bin110100101110100001…
…011011000100100100
312102010121021110222200
4310232201123010210
51411421430312140
642001505454500
74042655211552
oct645641330444
9172117243880
1056615088420
1122012817980
12ab80341430
1354533b8027
142a510d2bd2
1517154cb030
hexd2e85b124

56615088420 has 144 divisors (see below), whose sum is σ = 187469650368. Its totient is φ = 13715700480.

The previous prime is 56615088419. The next prime is 56615088427. The reversal of 56615088420 is 2488051665.

56615088420 is a `hidden beast` number, since 5 + 6 + 61 + 508 + 84 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (56615088427) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3232527 + ... + 3249993.

It is an arithmetic number, because the mean of its divisors is an integer number (1301872572).

Almost surely, 256615088420 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 56615088420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93734825184).

56615088420 is an abundant number, since it is smaller than the sum of its proper divisors (130854561948).

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

56615088420 is a wasteful number, since it uses less digits than its factorization.

56615088420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19130 (or 19125 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 56615088420 in words is "fifty-six billion, six hundred fifteen million, eighty-eight thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1637 1980 3274 4911 6548 8185 9822 14733 16370 17467 18007 19644 24555 29466 32740 34934 36014 49110 52401 54021 58932 69868 72028 73665 87335 90035 98220 104802 108042 147330 157203 162063 174670 180070 192137 209604 216084 262005 270105 294660 314406 324126 349340 360140 384274 524010 540210 576411 628812 648252 768548 786015 810315 960685 1048020 1080420 1152822 1572030 1620630 1729233 1921370 2305644 2882055 3144060 3241260 3458466 3842740 5764110 6916932 8646165 11528220 17292330 28593479 34584660 57186958 85780437 114373916 142967395 171560874 257341311 285934790 314528269 343121748 428902185 514682622 571869580 629056538 857804370 943584807 1029365244 1258113076 1286706555 1572641345 1715608740 1887169614 2573413110 2830754421 3145282690 3774339228 4717924035 5146826220 5661508842 6290565380 9435848070 11323017684 14153772105 18871696140 28307544210 56615088420