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75053377335057 = 311174715118850921
BaseRepresentation
bin10001000100001010111001…
…111001010010111100010001
3100211202000212220121110120020
4101010022321321102330101
534314133304044210212
6423343013501334053
721544266441166632
oct2104127171227421
9324660786543506
1075053377335057
1121a06a5a960530
128501a20267329
1332b56704593a4
1414768622c9889
158a249d338d8c
hex4442b9e52f11

75053377335057 has 64 divisors (see below), whose sum is σ = 118831386451968. Its totient is φ = 41622831360000.

The previous prime is 75053377335017. The next prime is 75053377335073.

75053377335057 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 75053377335057 - 28 = 75053377334801 is a prime.

It is not an unprimeable number, because it can be changed into a prime (75053377335017) 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, 5444044 + ... + 13406877.

It is an arithmetic number, because the mean of its divisors is an integer number (1856740413312).

Almost surely, 275053377335057 is an apocalyptic number.

It is an amenable number.

75053377335057 is a deficient number, since it is larger than the sum of its proper divisors (43778009116911).

75053377335057 is a wasteful number, since it uses less digits than its factorization.

75053377335057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18851150.

The product of its (nonzero) digits is 121550625, while the sum is 60.

The spelling of 75053377335057 in words is "seventy-five trillion, fifty-three billion, three hundred seventy-seven million, three hundred thirty-five thousand, fifty-seven".

Divisors: 1 3 11 17 33 47 51 141 151 187 453 517 561 799 1551 1661 2397 2567 4983 7097 7701 8789 21291 26367 28237 78067 84711 120649 234201 361947 1327139 3981417 18850921 56552763 207360131 320465657 622080393 885993287 961396971 2657979861 2846489071 3525122227 8539467213 9745926157 10575366681 15061885879 29237778471 31311379781 45185657637 48390314207 93934139343 133784986337 145170942621 165680744669 401354959011 497042234007 532293456277 1471634849707 1596880368831 2274344767729 4414904549121 6823034303187 25017792445019 75053377335057