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104144088358518 = 23132552718582631
BaseRepresentation
bin10111101011011111101111…
…011001000101111001110110
3111122202002002120200020111220
4113223133233121011321312
5102122244043104433033
61005255044514211210
730636106411036305
oct2753375731057166
9448662076606456
10104144088358518
113020229493617a
12b81b9a4583b06
13461598c820b00
141ba085a73443c
15c09060376bb3
hex5eb7ef645e76

104144088358518 has 48 divisors (see below), whose sum is σ = 225583638172416. Its totient is φ = 32038535374560.

The previous prime is 104144088358487. The next prime is 104144088358537. The reversal of 104144088358518 is 815853880441401.

It is a super-2 number, since 2×1041440883585182 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3686938 + ... + 14895693.

It is an arithmetic number, because the mean of its divisors is an integer number (4699659128592).

Almost surely, 2104144088358518 is an apocalyptic number.

104144088358518 is an abundant number, since it is smaller than the sum of its proper divisors (121439549813898).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

104144088358518 is a wasteful number, since it uses less digits than its factorization.

104144088358518 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18588189 (or 18588176 counting only the distinct ones).

The product of its (nonzero) digits is 19660800, while the sum is 60.

The spelling of 104144088358518 in words is "one hundred four trillion, one hundred forty-four billion, eighty-eight million, three hundred fifty-eight thousand, five hundred eighteen".

Divisors: 1 2 3 6 13 26 39 78 169 338 507 1014 5527 11054 16581 33162 71851 143702 215553 431106 934063 1868126 2802189 5604378 18582631 37165262 55747893 111495786 241574203 483148406 724722609 1449445218 3140464639 6280929278 9421393917 18842787834 102706201537 205412403074 308118604611 616237209222 1335180619981 2670361239962 4005541859943 8011083719886 17357348059753 34714696119506 52072044179259 104144088358518