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14901608961 = 341710939901
BaseRepresentation
bin11011110000011010…
…01000001000000001
31102110112000011120000
431320031020020001
5221004302441321
610502401110213
71035163405041
oct157015101001
942415004500
1014901608961
11635762a408
122a7a628369
1315363499c5
14a15131721
155c337b826
hex378348201

14901608961 has 40 divisors (see below), whose sum is σ = 23593812264. Its totient is φ = 9340531200.

The previous prime is 14901608951. The next prime is 14901608987. The reversal of 14901608961 is 16980610941.

It can be written as a sum of positive squares in 4 ways, for example, as 12575379600 + 2326229361 = 112140^2 + 48231^2 .

It is not a de Polignac number, because 14901608961 - 211 = 14901606913 is a prime.

It is not an unprimeable number, because it can be changed into a prime (14901608951) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1500111 + ... + 1510011.

Almost surely, 214901608961 is an apocalyptic number.

It is an amenable number.

14901608961 is a deficient number, since it is larger than the sum of its proper divisors (8692203303).

14901608961 is a wasteful number, since it uses less digits than its factorization.

14901608961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11023 (or 11014 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 14901608961 in words is "fourteen billion, nine hundred one million, six hundred eight thousand, nine hundred sixty-one".

Divisors: 1 3 9 17 27 51 81 153 459 1093 1377 3279 9837 9901 18581 29511 29703 55743 88533 89109 167229 168317 267327 501687 504951 801981 1505061 1514853 4544559 10821793 13633677 32465379 97396137 183970481 292188411 551911443 876565233 1655734329 4967202987 14901608961