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117536864639292 = 2232717257106755809
BaseRepresentation
bin11010101110011000101111…
…000100001001100100111100
3120102011102012012001011220200
4122232120233010021210330
5110401210444321424132
61053551405025443500
733520521035106060
oct3256305704114474
9512142165034820
10117536864639292
11344a6116a0007a
12112235221a0590
1350778a9371087
142104b593a7aa0
15d8c60c14ad7c
hex6ae62f10993c

117536864639292 has 144 divisors (see below), whose sum is σ = 360923458633920. Its totient is φ = 31483568848896.

The previous prime is 117536864639251. The next prime is 117536864639401. The reversal of 117536864639292 is 292936468635711.

117536864639292 is a `hidden beast` number, since 1 + 1 + 7 + 5 + 36 + 86 + 46 + 392 + 92 = 666.

It is a super-2 number, since 2×1175368646392922 (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 117536864639292.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52276917 + ... + 54478892.

It is an arithmetic number, because the mean of its divisors is an integer number (2506412907180).

Almost surely, 2117536864639292 is an apocalyptic number.

117536864639292 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

117536864639292 is an abundant number, since it is smaller than the sum of its proper divisors (243386593994628).

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

117536864639292 is a wasteful number, since it uses less digits than its factorization.

117536864639292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106756100 (or 106756095 counting only the distinct ones).

The product of its digits is 705438720, while the sum is 72.

Adding to 117536864639292 its sum of digits (72), we get a square (117536864639364 = 108414422).

The spelling of 117536864639292 in words is "one hundred seventeen trillion, five hundred thirty-six billion, eight hundred sixty-four million, six hundred thirty-nine thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 102 119 126 153 204 238 252 257 306 357 476 514 612 714 771 1028 1071 1428 1542 1799 2142 2313 3084 3598 4284 4369 4626 5397 7196 8738 9252 10794 13107 16191 17476 21588 26214 30583 32382 39321 52428 61166 64764 78642 91749 122332 157284 183498 275247 366996 550494 1100988 106755809 213511618 320267427 427023236 640534854 747290663 960802281 1281069708 1494581326 1814848753 1921604562 2241871989 2989162652 3629697506 3843209124 4483743978 5444546259 6725615967 7259395012 8967487956 10889092518 12703941271 13451231934 16333638777 21778185036 25407882542 26902463868 27436242913 32667277554 38111823813 50815765084 54872485826 65334555108 76223647626 82308728739 109744971652 114335471439 152447295252 164617457478 192053700391 228670942878 246926186217 329234914956 384107400782 457341885756 466416129521 493852372434 576161101173 768214801564 932832259042 987704744868 1152322202346 1399248388563 1728483303519 1865664518084 2304644404692 2798496777126 3264912906647 3456966607038 4197745165689 5596993554252 6529825813294 6913933214076 8395490331378 9794738719941 13059651626588 16790980662756 19589477439882 29384216159823 39178954879764 58768432319646 117536864639292