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56452700725465 = 51121371039655531
BaseRepresentation
bin11001101010111111010110…
…01011000110000011011001
321101212211021202222102111211
430311133223023012003121
524344410112341203330
6320022002424023121
714614400356543252
oct1465375313060331
9241784252872454
1056452700725465
1116a95501927a00
1263b8ab3301aa1
13256660b83c815
14dd247a86bb29
1567d6e7010d2a
hex3357eb2c60d9

56452700725465 has 48 divisors (see below), whose sum is σ = 75077398206720. Its totient is φ = 40717537977600.

The previous prime is 56452700725411. The next prime is 56452700725493.

It is a happy number.

56452700725465 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 56452700725465 - 227 = 56452566507737 is a prime.

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85789750 + ... + 86445280.

It is an arithmetic number, because the mean of its divisors is an integer number (1564112462640).

Almost surely, 256452700725465 is an apocalyptic number.

56452700725465 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

56452700725465 is a deficient number, since it is larger than the sum of its proper divisors (18624697481255).

56452700725465 is a wasteful number, since it uses less digits than its factorization.

56452700725465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656734 (or 656723 counting only the distinct ones).

The product of its (nonzero) digits is 70560000, while the sum is 58.

The spelling of 56452700725465 in words is "fifty-six trillion, four hundred fifty-two billion, seven hundred million, seven hundred twenty-five thousand, four hundred sixty-five".

Divisors: 1 5 11 55 121 137 605 685 1039 1507 5195 7535 11429 16577 57145 82885 125719 142343 628595 655531 711715 1565773 3277655 7210841 7828865 17223503 36054205 79319251 86117515 89807747 396596255 449038735 681096709 987885217 3405483545 4939426085 7492063799 10866737387 37460318995 54333686935 82412701789 93310249133 412063508945 466551245665 1026412740463 5132063702315 11290540145093 56452700725465