Search a number
-
+
13407523932264 = 2337117417978179
BaseRepresentation
bin1100001100011010111010…
…1100111000100001101000
31202110202011101200021000020
43003012232230320201220
53224132102111313024
644303155332440440
72552442641023110
oct303065654704150
952422141607006
1013407523932264
1142aa10a7a9830
121606574779120
1376342a013987
14344cdb56a040
15183b6188d979
hexc31aeb38868

13407523932264 has 128 divisors (see below), whose sum is σ = 41795362022400. Its totient is φ = 3482000663040.

The previous prime is 13407523932193. The next prime is 13407523932331. The reversal of 13407523932264 is 46223932570431.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13217527 + ... + 14195705.

It is an arithmetic number, because the mean of its divisors is an integer number (326526265800).

Almost surely, 213407523932264 is an apocalyptic number.

13407523932264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13407523932264 is an abundant number, since it is smaller than the sum of its proper divisors (28387838090136).

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

13407523932264 is a wasteful number, since it uses less digits than its factorization.

13407523932264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 985623 (or 985619 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 51.

The spelling of 13407523932264 in words is "thirteen trillion, four hundred seven billion, five hundred twenty-three million, nine hundred thirty-two thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 308 462 616 924 1848 7417 14834 22251 29668 44502 51919 59336 81587 89004 103838 155757 163174 178008 207676 244761 311514 326348 415352 489522 571109 623028 652696 978179 979044 1142218 1246056 1713327 1956358 1958088 2284436 2934537 3426654 3912716 4568872 5869074 6847253 6853308 7825432 10759969 11738148 13694506 13706616 20541759 21519938 23476296 27389012 32279907 41083518 43039876 54778024 64559814 75319783 82167036 86079752 129119628 150639566 164334072 225959349 258239256 301279132 451918698 602558264 903837396 1807674792 7255153643 14510307286 21765460929 29020614572 43530921858 50786075501 58041229144 79806690073 87061843716 101572151002 152358226503 159613380146 174123687432 203144302004 239420070219 304716453006 319226760292 406288604008 478840140438 558646830511 609432906012 638453520584 957680280876 1117293661022 1218865812024 1675940491533 1915360561752 2234587322044 3351880983066 4469174644088 6703761966132 13407523932264