Search a number
-
+
14036160564 = 2232593657493
BaseRepresentation
bin11010001001001111…
…01101000000110100
31100020012111211112200
431010213231000310
5212221224114224
610240443344500
71004554252626
oct150447550064
940205454480
1014036160564
115a530571a8
122878822130
131428c5cc6a
1497220ac16
155723c75c9
hex3449ed034

14036160564 has 36 divisors (see below), whose sum is σ = 35540180676. Its totient is φ = 4670823168.

The previous prime is 14036160557. The next prime is 14036160571. The reversal of 14036160564 is 46506163041.

It is a happy number.

14036160564 is a `hidden beast` number, since 1 + 4 + 0 + 36 + 1 + 60 + 564 = 666.

It is an interprime number because it is at equal distance from previous prime (14036160557) and next prime (14036160571).

It can be written as a sum of positive squares in 2 ways, for example, as 7516890000 + 6519270564 = 86700^2 + 80742^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 307399 + ... + 350094.

It is an arithmetic number, because the mean of its divisors is an integer number (987227241).

Almost surely, 214036160564 is an apocalyptic number.

It is an amenable number.

14036160564 is an abundant number, since it is smaller than the sum of its proper divisors (21504020112).

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

14036160564 is a wasteful number, since it uses less digits than its factorization.

14036160564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658096 (or 658091 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 14036160564 in words is "fourteen billion, thirty-six million, one hundred sixty thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 593 1186 1779 2372 3558 5337 7116 10674 21348 657493 1314986 1972479 2629972 3944958 5917437 7889916 11834874 23669748 389893349 779786698 1169680047 1559573396 2339360094 3509040141 4678720188 7018080282 14036160564