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56225633652265 = 57111931349710449
BaseRepresentation
bin11001100100011000011001…
…11010111100111000101001
321101002010012002012221211211
430302030030322330320221
524332200044203333030
6315325411032353121
714562111421346350
oct1462141472747051
9241063162187754
1056225633652265
1116a08180441020
126380aa2b457a1
13254b0929874cc
14dc5499a88997
156778576a812a
hex33230cebce29

56225633652265 has 128 divisors (see below), whose sum is σ = 91665100800000. Its totient is φ = 32041773158400.

The previous prime is 56225633652241. The next prime is 56225633652281.

56225633652265 is nontrivially palindromic in base 10.

56225633652265 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 56225633652265 - 219 = 56225633127977 is a prime.

It is a super-2 number, since 2×562256336522652 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 78785761 + ... + 79496209.

It is an arithmetic number, because the mean of its divisors is an integer number (716133600000).

Almost surely, 256225633652265 is an apocalyptic number.

56225633652265 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

56225633652265 is a deficient number, since it is larger than the sum of its proper divisors (35439467147735).

56225633652265 is a wasteful number, since it uses less digits than its factorization.

56225633652265 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710871.

The product of its digits is 116640000, while the sum is 58.

The spelling of 56225633652265 in words is "fifty-six trillion, two hundred twenty-five billion, six hundred thirty-three million, six hundred fifty-two thousand, two hundred sixty-five".

Divisors: 1 5 7 11 19 31 35 55 77 95 133 155 209 217 341 349 385 589 665 1045 1085 1463 1705 1745 2387 2443 2945 3839 4123 6479 6631 7315 10819 11935 12215 19195 20615 26873 32395 33155 45353 46417 54095 72941 75733 119009 134365 205561 226765 232085 364705 378665 510587 595045 710449 833063 1027805 1438927 2261171 2552935 3552245 4165315 4973143 7194635 7814939 11305855 13498531 15828197 22023919 24865715 39074695 54704573 67492655 79140985 94489717 110119595 148483841 154167433 242263109 247946701 273522865 418454461 472448585 742419205 770837165 1039386887 1211315545 1239733505 1695841763 1735626907 2092272305 2727413711 2929181227 4602999071 4710987319 5196934435 7686347731 8479208815 8678134535 13637068555 14645906135 19091895977 23014995355 23554936595 32220993497 32976911233 38431738655 51820860509 53804434117 84549825041 95459479885 146040606889 161104967485 164884556165 259104302545 269022170585 362746023563 422749125205 591848775287 730203034445 1022284248223 1606446675779 1813730117815 2959243876435 5111421241115 8032233378895 11245126730453 56225633652265