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56345233254365 = 51119239464948527
BaseRepresentation
bin11001100111110111001011…
…00111001110011111011101
321101111112220011222020200102
430303323211213032133131
524341130014203114430
6315500350503110445
714603544256242056
oct1463734547163735
9241445804866612
1056345233254365
1116a53974289290
1263a0100742425
132559442c21133
14dcb1a3b6572d
1567aa0741c345
hex333ee59ce7dd

56345233254365 has 64 divisors (see below), whose sum is σ = 77986437120000. Its totient is φ = 38650050593280.

The previous prime is 56345233254361. The next prime is 56345233254391.

56345233254365 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 56345233254365 - 22 = 56345233254361 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 56345233254365.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56345233254361) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1161086732 + ... + 1161135258.

It is an arithmetic number, because the mean of its divisors is an integer number (1218538080000).

Almost surely, 256345233254365 is an apocalyptic number.

56345233254365 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

56345233254365 is a deficient number, since it is larger than the sum of its proper divisors (21641203865635).

56345233254365 is a wasteful number, since it uses less digits than its factorization.

56345233254365 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53450.

The product of its digits is 116640000, while the sum is 56.

It can be divided in two parts, 5634523 and 3254365, that added together give a palindrome (8888888).

The spelling of 56345233254365 in words is "fifty-six trillion, three hundred forty-five billion, two hundred thirty-three million, two hundred fifty-four thousand, three hundred sixty-five".

Divisors: 1 5 11 19 55 95 209 239 1045 1195 2629 4541 4649 13145 22705 23245 48527 49951 51139 88331 242635 249755 255695 441655 533797 922013 971641 1111111 2668985 4610065 4858205 5555555 10142143 11597953 12222221 21111109 50710715 57989765 61111105 105555545 127577483 220361107 225602023 232222199 637887415 1101805535 1128010115 1161110995 2423972177 2481622253 4286438437 12119860885 12408111265 21432192185 47150822807 53918883497 235754114035 269594417485 593107718467 1024458786443 2965538592335 5122293932215 11269046650873 56345233254365