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15714628164 = 223217212292
BaseRepresentation
bin11101010001010101…
…00011001001000100
31111120011211211020100
432220222203021010
5224140421100124
611115203004100
71064265064314
oct165052431104
944504754210
1015714628164
116734552804
123066969630
13163590a761
14a910c9444
1561e9261c9
hex3a8aa3244

15714628164 has 81 divisors (see below), whose sum is σ = 42231552727. Its totient is φ = 4926067968.

The previous prime is 15714628157. The next prime is 15714628213. The reversal of 15714628164 is 46182641751.

The square root of 15714628164 is 125358.

It is a perfect power (a square), and thus also a powerful number.

15714628164 is a `hidden beast` number, since 1 + 5 + 7 + 1 + 4 + 628 + 16 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10644048900 + 5070579264 = 103170^2 + 71208^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 12785902 + ... + 12787130.

Almost surely, 215714628164 is an apocalyptic number.

15714628164 is the 125358-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15714628164

15714628164 is an abundant number, since it is smaller than the sum of its proper divisors (26516924563).

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

15714628164 is a wasteful number, since it uses less digits than its factorization.

15714628164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2502 (or 1251 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The spelling of 15714628164 in words is "fifteen billion, seven hundred fourteen million, six hundred twenty-eight thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 289 306 578 612 867 1156 1229 1734 2458 2601 3468 3687 4916 5202 7374 10404 11061 14748 20893 22122 41786 44244 62679 83572 125358 188037 250716 355181 376074 710362 752148 1065543 1420724 1510441 2131086 3020882 3196629 4262172 4531323 6041764 6393258 9062646 12786516 13593969 18125292 25677497 27187938 51354994 54375876 77032491 102709988 154064982 231097473 308129964 436517449 462194946 873034898 924389892 1309552347 1746069796 2619104694 3928657041 5238209388 7857314082 15714628164