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13213634616 = 23327132016733
BaseRepresentation
bin11000100111001100…
…00001000000111000
31021002212210012001200
430103212001000320
5204030142301431
610023102014200
7645306020040
oct142346010070
937085705050
1013213634616
115670830296
122689277360
131327721010
148d4c9a720
155250a0ee6
hex313981038

13213634616 has 96 divisors (see below), whose sum is σ = 44045470560. Its totient is φ = 3484912896.

The previous prime is 13213634593. The next prime is 13213634639. The reversal of 13213634616 is 61643631231.

13213634616 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 3 + 6 + 34 + 616 = 666.

It is an interprime number because it is at equal distance from previous prime (13213634593) and next prime (13213634639).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1001815 + ... + 1014918.

It is an arithmetic number, because the mean of its divisors is an integer number (458806985).

Almost surely, 213213634616 is an apocalyptic number.

It is an amenable number.

13213634616 is an abundant number, since it is smaller than the sum of its proper divisors (30831835944).

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

13213634616 is a wasteful number, since it uses less digits than its factorization.

13213634616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2016765 (or 2016758 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The spelling of 13213634616 in words is "thirteen billion, two hundred thirteen million, six hundred thirty-four thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 52 56 63 72 78 84 91 104 117 126 156 168 182 234 252 273 312 364 468 504 546 728 819 936 1092 1638 2184 3276 6552 2016733 4033466 6050199 8066932 12100398 14117131 16133864 18150597 24200796 26217529 28234262 36301194 42351393 48401592 52435058 56468524 72602388 78652587 84702786 104870116 112937048 127054179 145204776 157305174 169405572 183522703 209740232 235957761 254108358 314610348 338811144 367045406 471915522 508216716 550568109 629220696 734090812 943831044 1016433432 1101136218 1468181624 1651704327 1887662088 2202272436 3303408654 4404544872 6606817308 13213634616