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256560465656 = 231117394117909
BaseRepresentation
bin1110111011110000110…
…0100000011011111000
3220112020010210001010202
43232330030200123320
513200413434400111
6313510125101332
724351543655535
oct3567414403370
9815203701122
10256560465656
11998967701a0
12418816b7848
131b2692c0931
14c5bbc35d8c
156a18c60b3b
hex3bbc3206f8

256560465656 has 64 divisors (see below), whose sum is σ = 528406610400. Its totient is φ = 115814617600.

The previous prime is 256560465613. The next prime is 256560465703. The reversal of 256560465656 is 656564065652.

It is a congruent number.

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, 14316830 + ... + 14334738.

Almost surely, 2256560465656 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 256560465656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264203305200).

256560465656 is an abundant number, since it is smaller than the sum of its proper divisors (271846144744).

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

256560465656 is a wasteful number, since it uses less digits than its factorization.

256560465656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19040 (or 19036 counting only the distinct ones).

The product of its (nonzero) digits is 38880000, while the sum is 56.

The spelling of 256560465656 in words is "two hundred fifty-six billion, five hundred sixty million, four hundred sixty-five thousand, six hundred fifty-six".

Divisors: 1 2 4 8 11 22 44 88 173 346 692 941 1384 1882 1903 3764 3806 7528 7612 10351 15224 17909 20702 35818 41404 71636 82808 143272 162793 196999 325586 393998 651172 787996 1302344 1575992 1790723 3098257 3581446 6196514 7162892 12393028 14325784 16852369 24786056 33704738 34080827 67409476 68161654 134818952 136323308 185376059 272646616 370752118 741504236 1483008472 2915459837 5830919674 11661839348 23323678696 32070058207 64140116414 128280232828 256560465656