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56623252656 = 2431786380407
BaseRepresentation
bin110100101111000000…
…100100010010110000
312102011011122021012210
4310233000210102300
51411431023041111
642002400452120
74043114464155
oct645700442260
9172134567183
1056623252656
1122017393883
12ab8301a040
135454cb6139
142a5221a22c
1517160900a6
hexd2f0244b0

56623252656 has 80 divisors (see below), whose sum is σ = 155062646784. Its totient is φ = 17743352832.

The previous prime is 56623252633. The next prime is 56623252669. The reversal of 56623252656 is 65625232665.

It is a super-2 number, since 2×566232526562 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 664005 + ... + 744411.

Almost surely, 256623252656 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 56623252656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77531323392).

56623252656 is an abundant number, since it is smaller than the sum of its proper divisors (98439394128).

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

56623252656 is a wasteful number, since it uses less digits than its factorization.

56623252656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81298 (or 81292 counting only the distinct ones).

The product of its digits is 3888000, while the sum is 48.

The spelling of 56623252656 in words is "fifty-six billion, six hundred twenty-three million, two hundred fifty-two thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 408 816 863 1726 2589 3452 5178 6904 10356 13808 14671 20712 29342 41424 44013 58684 80407 88026 117368 160814 176052 234736 241221 321628 352104 482442 643256 704208 964884 1286512 1366919 1929768 2733838 3859536 4100757 5467676 8201514 10935352 16403028 21870704 32806056 65612112 69391241 138782482 208173723 277564964 416347446 555129928 832694892 1110259856 1179651097 1665389784 2359302194 3330779568 3538953291 4718604388 7077906582 9437208776 14155813164 18874417552 28311626328 56623252656