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56613315616 = 25111341301751
BaseRepresentation
bin110100101110011010…
…101010010000100000
312102010110221102011021
4310232122222100200
51411421002044431
642001403455224
74042634146204
oct645632522040
9172113842137
1056613315616
1122011816a50
12ab7b827514
135452c17130
142a50b90b04
15171527ab11
hexd2e6aa420

56613315616 has 96 divisors (see below), whose sum is σ = 134137213056. Its totient is φ = 23174400000.

The previous prime is 56613315593. The next prime is 56613315631. The reversal of 56613315616 is 61651331665.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36741 + ... + 338491.

It is an arithmetic number, because the mean of its divisors is an integer number (1397262636).

Almost surely, 256613315616 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 56613315616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67068606528).

56613315616 is an abundant number, since it is smaller than the sum of its proper divisors (77523897440).

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

56613315616 is a wasteful number, since it uses less digits than its factorization.

56613315616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301826 (or 301818 counting only the distinct ones).

The product of its digits is 291600, while the sum is 43.

The spelling of 56613315616 in words is "fifty-six billion, six hundred thirteen million, three hundred fifteen thousand, six hundred sixteen".

Divisors: 1 2 4 8 11 13 16 22 26 32 41 44 52 82 88 104 143 164 176 208 286 328 352 416 451 533 572 656 902 1066 1144 1312 1804 2132 2288 3608 4264 4576 5863 7216 8528 11726 14432 17056 23452 46904 93808 187616 301751 603502 1207004 2414008 3319261 3922763 4828016 6638522 7845526 9656032 12371791 13277044 15691052 24743582 26554088 31382104 43150393 49487164 53108176 62764208 86300786 98974328 106216352 125528416 136089701 160833283 172601572 197948656 272179402 321666566 345203144 395897312 544358804 643333132 690406288 1088717608 1286666264 1380812576 1769166113 2177435216 2573332528 3538332226 4354870432 5146665056 7076664452 14153328904 28306657808 56613315616