Search a number
-
+
13965436173 = 3132131283743
BaseRepresentation
bin11010000000110011…
…11010010100001101
31100001021102122220210
431000121322110031
5212100122424143
610225435433033
71003035151233
oct150031722415
940037378823
1013965436173
115a17140997
122858bb5779
1314173c9800
14966a7a953
1556b0a7033
hex34067a50d

13965436173 has 48 divisors (see below), whose sum is σ = 20416264704. Its totient is φ = 8486936640.

The previous prime is 13965436169. The next prime is 13965436181. The reversal of 13965436173 is 37163456931.

It is not a de Polignac number, because 13965436173 - 22 = 13965436169 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13965436153) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18795640 + ... + 18796382.

It is an arithmetic number, because the mean of its divisors is an integer number (425338848).

Almost surely, 213965436173 is an apocalyptic number.

13965436173 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13965436173 is a deficient number, since it is larger than the sum of its proper divisors (6450828531).

13965436173 is a wasteful number, since it uses less digits than its factorization.

13965436173 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1186 (or 1173 counting only the distinct ones).

The product of its digits is 1224720, while the sum is 48.

The spelling of 13965436173 in words is "thirteen billion, nine hundred sixty-five million, four hundred thirty-six thousand, one hundred seventy-three".

Divisors: 1 3 13 39 131 169 283 393 507 743 849 1703 2229 3679 5109 9659 11037 22139 28977 37073 47827 66417 97333 111219 125567 143481 210269 291999 376701 481949 630807 1265329 1445847 2733497 3795987 6265337 8200491 16449277 18796011 27545239 35535461 49347831 82635717 106606383 358088107 1074264321 4655145391 13965436173