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113701037337152 = 26191395011134243
BaseRepresentation
bin11001110110100100010101…
…111100001110101001000000
3112220120201020210020122100122
4121312210111330032221000
5104400334211024242102
61041453311354235412
732643425462026016
oct3166442574165100
9486521223218318
10113701037337152
11332573804402a1
1210904033425b68
134b59c6714bc55
142011233c088b6
15d229591180a2
hex676915f0ea40

113701037337152 has 112 divisors (see below), whose sum is σ = 239258677996800. Its totient is φ = 53459846760960.

The previous prime is 113701037337137. The next prime is 113701037337193. The reversal of 113701037337152 is 251733730107311.

It is a super-2 number, since 2×1137010373371522 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 846912143 + ... + 847046385.

It is an arithmetic number, because the mean of its divisors is an integer number (2136238196400).

Almost surely, 2113701037337152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113701037337152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119629338998400).

113701037337152 is an abundant number, since it is smaller than the sum of its proper divisors (125557640659648).

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

113701037337152 is a wasteful number, since it uses less digits than its factorization.

113701037337152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139424 (or 139414 counting only the distinct ones).

The product of its (nonzero) digits is 277830, while the sum is 44.

The spelling of 113701037337152 in words is "one hundred thirteen trillion, seven hundred one billion, thirty-seven million, three hundred thirty-seven thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 19 32 38 64 76 139 152 278 304 556 608 1112 1216 2224 2641 4448 5011 5282 8896 10022 10564 20044 21128 40088 42256 80176 84512 95209 134243 160352 169024 190418 268486 320704 380836 536972 696529 761672 1073944 1393058 1523344 2147888 2550617 2786116 3046688 4295776 5101234 5572232 6093376 8591552 10202468 11144464 13234051 18659777 20404936 22288928 26468102 37319554 40809872 44577856 52936204 74639108 81619744 105872408 149278216 163239488 211744816 298556432 354535763 423489632 597112864 672691673 709071526 846979264 1194225728 1345383346 1418143052 2690766692 2836286104 5381533384 5672572208 10763066768 11345144416 12781141787 21526133536 22690288832 25562283574 43052267072 51124567148 93504142547 102249134296 187008285094 204498268592 374016570188 408996537184 748033140376 817993074368 1496066280752 1776578708393 2992132561504 3553157416786 5984265123008 7106314833572 14212629667144 28425259334288 56850518668576 113701037337152