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113277615223104 = 2632375315203417
BaseRepresentation
bin11001110000011010000000…
…000001000011000101000000
3112212002020022202211121011100
4121300122000001003011000
5104321420023444114404
61040531003521014400
732601015622321143
oct3160320001030500
9485066282747140
10113277615223104
1133103848719a52
1210855b64184400
134b29058169737
141dd894707805a
15d1692632dd39
hex670680043140

113277615223104 has 84 divisors (see below), whose sum is σ = 333465232038484. Its totient is φ = 36738686011392.

The previous prime is 113277615223103. The next prime is 113277615223109. The reversal of 113277615223104 is 401322516772311.

113277615223104 is a `hidden beast` number, since 1 + 1 + 3 + 2 + 7 + 7 + 615 + 2 + 23 + 1 + 0 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 65093914886400 + 48183700336704 = 8068080^2 + 6941448^2 .

It is a super-2 number, since 2×1132776152231042 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 113277615223104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113277615223103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2657580397 + ... + 2657623020.

Almost surely, 2113277615223104 is an apocalyptic number.

It is an amenable number.

113277615223104 is an abundant number, since it is smaller than the sum of its proper divisors (220187616815380).

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

113277615223104 is a wasteful number, since it uses less digits than its factorization.

113277615223104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5315203472 (or 5315203459 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 113277615223104 in words is "one hundred thirteen trillion, two hundred seventy-seven billion, six hundred fifteen million, two hundred twenty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 64 72 74 96 111 144 148 192 222 288 296 333 444 576 592 666 888 1184 1332 1776 2368 2664 3552 5328 7104 10656 21312 5315203417 10630406834 15945610251 21260813668 31891220502 42521627336 47836830753 63782441004 85043254672 95673661506 127564882008 170086509344 191347323012 196662526429 255129764016 340173018688 382694646024 393325052858 510259528032 589987579287 765389292048 786650105716 1020519056064 1179975158574 1530778584096 1573300211432 1769962737861 2359950317148 3061557168192 3146600422864 3539925475722 4719900634296 6293200845728 7079850951444 9439801268592 12586401691456 14159701902888 18879602537184 28319403805776 37759205074368 56638807611552 113277615223104