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20320564212 = 223213199218191
BaseRepresentation
bin10010111011001100…
…110011001111110100
31221110011201121200100
4102323030303033310
5313104031023322
613200220114100
71316363642304
oct227314631764
957404647610
1020320564212
118688479723
123b31395930
131bbac258c0
14daaacd604
157dde8cdac
hex4bb3333f4

20320564212 has 72 divisors (see below), whose sum is σ = 55595321600. Its totient is φ = 6221033280.

The previous prime is 20320564211. The next prime is 20320564217. The reversal of 20320564212 is 21246502302.

It is a happy number.

20320564212 is a `hidden beast` number, since 2 + 0 + 3 + 2 + 0 + 5 + 642 + 12 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20320564211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15964 + ... + 202227.

Almost surely, 220320564212 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 20320564212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27797660800).

20320564212 is an abundant number, since it is smaller than the sum of its proper divisors (35274757388).

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

20320564212 is a wasteful number, since it uses less digits than its factorization.

20320564212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218413 (or 218408 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 20320564212 in words is "twenty billion, three hundred twenty million, five hundred sixty-four thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 199 234 398 468 597 796 1194 1791 2388 2587 3582 5174 7164 7761 10348 15522 23283 31044 46566 93132 218191 436382 654573 872764 1309146 1963719 2618292 2836483 3927438 5672966 7854876 8509449 11345932 17018898 25528347 34037796 43420009 51056694 86840018 102113388 130260027 173680036 260520054 390780081 521040108 564460117 781560162 1128920234 1563120324 1693380351 2257840468 3386760702 5080141053 6773521404 10160282106 20320564212