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56632664417 = 71716316717483
BaseRepresentation
bin110100101111100100…
…011110000101100001
312102011211100102201112
4310233210132011201
51411440430230132
642003334313105
74043260463540
oct645744360541
9172154312645
1056632664417
1122021731a9a
12ab861b8795
135456c30024
142a5358a157
151716cedab2
hexd2f91e161

56632664417 has 32 divisors (see below), whose sum is σ = 69367560192. Its totient is φ = 45132090624.

The previous prime is 56632664399. The next prime is 56632664443. The reversal of 56632664417 is 71446623665.

56632664417 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 56632664417 - 28 = 56632664161 is a prime.

It is not an unprimeable number, because it can be changed into a prime (56632664447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3230558 + ... + 3248040.

It is an arithmetic number, because the mean of its divisors is an integer number (2167736256).

Almost surely, 256632664417 is an apocalyptic number.

It is an amenable number.

56632664417 is a deficient number, since it is larger than the sum of its proper divisors (12734895775).

56632664417 is a wasteful number, since it uses less digits than its factorization.

56632664417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17837.

The product of its digits is 4354560, while the sum is 50.

The spelling of 56632664417 in words is "fifty-six billion, six hundred thirty-two million, six hundred sixty-four thousand, four hundred seventeen".

Divisors: 1 7 17 119 163 167 1141 1169 2771 2839 17483 19397 19873 27221 122381 190547 297211 462757 2080477 2849729 2919661 3239299 19948103 20437627 48445393 49634237 339117751 347439659 475904743 3331333201 8090380631 56632664417