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56592264065089 = 101221123532
BaseRepresentation
bin11001101111000011010011…
…10010111111000001000001
321102101011112012000122211111
430313201221302333001001
524404201424100040324
6320210043250443321
714630441026422244
oct1467415162770101
9242334465018744
1056592264065089
111703970a7866a5
12641bb62893541
132576820ac579c
14dd911a0b125b
1568216472b794
hex337869cbf041

56592264065089 has 27 divisors (see below), whose sum is σ = 57593459663337. Its totient is φ = 55608411936000.

The previous prime is 56592264065021. The next prime is 56592264065119. The reversal of 56592264065089 is 98056046229565.

The square root of 56592264065089 is 7522783.

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

56592264065089 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 12618018274225 + 43974245790864 = 3552185^2 + 6631308^2 .

It is not a de Polignac number, because 56592264065089 - 237 = 56454825111617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (56592261065089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 160318028337 + ... + 160318028689.

Almost surely, 256592264065089 is an apocalyptic number.

56592264065089 is the 7522783-rd square number.

56592264065089 is the 3761392-nd centered octagonal number.

It is an amenable number.

56592264065089 is a deficient number, since it is larger than the sum of its proper divisors (1001195598248).

56592264065089 is an frugal number, since it uses more digits than its factorization.

56592264065089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1330 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 279936000, while the sum is 67.

The spelling of 56592264065089 in words is "fifty-six trillion, five hundred ninety-two billion, two hundred sixty-four million, sixty-five thousand, eighty-nine".

Divisors: 1 101 211 353 10201 21311 35653 44521 74483 124609 2152411 3600953 4496621 7522783 12585509 15715913 26292499 454158721 759801083 1271136409 1587307213 2655542399 5547717289 160318028513 268209782299 560319446189 56592264065089