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14564536056 = 23327118124469
BaseRepresentation
bin11011001000001110…
…10010111011111000
31101121000202002110100
431210013102323320
5214312010123211
610405120315400
71023631341150
oct154407227370
941530662410
1014564536056
1161a4334564
1229a5772b60
1314b156b795
149c246b760
155a3998156
hex3641d2ef8

14564536056 has 96 divisors (see below), whose sum is σ = 45120722400. Its totient is φ = 4157602560.

The previous prime is 14564536043. The next prime is 14564536061. The reversal of 14564536056 is 65063546541.

14564536056 is a `hidden beast` number, since 1 + 4 + 5 + 64 + 536 + 0 + 56 = 666.

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, 582990 + ... + 607458.

It is an arithmetic number, because the mean of its divisors is an integer number (470007525).

Almost surely, 214564536056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14564536056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22560361200).

14564536056 is an abundant number, since it is smaller than the sum of its proper divisors (30556186344).

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

14564536056 is a wasteful number, since it uses less digits than its factorization.

14564536056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25669 (or 25662 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 14564536056 in words is "fourteen billion, five hundred sixty-four million, five hundred thirty-six thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 1181 2362 3543 4724 7086 8267 9448 10629 14172 16534 21258 24469 24801 28344 33068 42516 48938 49602 66136 73407 74403 85032 97876 99204 146814 148806 171283 195752 198408 220221 293628 297612 342566 440442 513849 587256 595224 685132 880884 1027698 1370264 1541547 1761768 2055396 3083094 4110792 6166188 12332376 28897889 57795778 86693667 115591556 173387334 202285223 231183112 260081001 346774668 404570446 520162002 606855669 693549336 809140892 1040324004 1213711338 1618281784 1820567007 2080648008 2427422676 3641134014 4854845352 7282268028 14564536056