Search a number
-
+
113626306080 = 25325711272451
BaseRepresentation
bin110100111010010100…
…1111101011000100000
3101212021210221102010200
41221310221331120200
53330201313243310
6124111010025200
711131523444250
oct1516451753040
9355253842120
10113626306080
11442090a6591
121a031278200
13a93a88a851
1456dca5d960
152e506539c0
hex1a74a7d620

113626306080 has 144 divisors (see below), whose sum is σ = 443142633024. Its totient is φ = 25971724800.

The previous prime is 113626306063. The next prime is 113626306097. The reversal of 113626306080 is 80603626311.

113626306080 is a `hidden beast` number, since 1 + 13 + 6 + 2 + 6 + 30 + 608 + 0 = 666.

113626306080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (113626306063) and next prime (113626306097).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5626146 + ... + 5646305.

It is an arithmetic number, because the mean of its divisors is an integer number (3077379396).

Almost surely, 2113626306080 is an apocalyptic number.

113626306080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113626306080 is an abundant number, since it is smaller than the sum of its proper divisors (329516326944).

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

113626306080 is a wasteful number, since it uses less digits than its factorization.

113626306080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11272479 (or 11272468 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 113626306080 in words is "one hundred thirteen billion, six hundred twenty-six million, three hundred six thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 80 84 90 96 105 112 120 126 140 144 160 168 180 210 224 240 252 280 288 315 336 360 420 480 504 560 630 672 720 840 1008 1120 1260 1440 1680 2016 2520 3360 5040 10080 11272451 22544902 33817353 45089804 56362255 67634706 78907157 90179608 101452059 112724510 135269412 157814314 169086765 180359216 202904118 225449020 236721471 270538824 315628628 338173530 360718432 394535785 405808236 450898040 473442942 507260295 541077648 631257256 676347060 710164413 789071570 811616472 901796080 946885884 1014520590 1082155296 1183607355 1262514512 1352694120 1420328826 1578143140 1623232944 1803592160 1893771768 2029041180 2367214710 2525029024 2705388240 2840657652 3156286280 3246465888 3550822065 3787543536 4058082360 4734429420 5410776480 5681315304 6312572560 7101644130 7575087072 8116164720 9468858840 11362630608 12625145120 14203288260 16232329440 18937717680 22725261216 28406576520 37875435360 56813153040 113626306080