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268620264243828 = 2232719214326179567
BaseRepresentation
bin111101000100111100000111…
…011011100000001001110100
31022020002211212002000021112100
4331010330013123200021310
5240202033300121300303
62351150240143222100
7110403113363462550
oct7504740733401164
91266084762007470
10268620264243828
117865523a282532
12261644a6ba7930
13b6b6a22725433
144a4940c2ac860
15210c66998a8a3
hexf44f076e0274

268620264243828 has 144 divisors (see below), whose sum is σ = 817238149611520. Its totient is φ = 72675312962112.

The previous prime is 268620264243811. The next prime is 268620264243833. The reversal of 268620264243828 is 828342462026862.

268620264243828 is a `hidden beast` number, since 2 + 6 + 8 + 6 + 202 + 6 + 42 + 4 + 382 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 2829100 + ... + 23350467.

Almost surely, 2268620264243828 is an apocalyptic number.

268620264243828 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268620264243828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408619074805760).

268620264243828 is an abundant number, since it is smaller than the sum of its proper divisors (548617885367692).

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

268620264243828 is a wasteful number, since it uses less digits than its factorization.

268620264243828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26181746 (or 26181741 counting only the distinct ones).

The product of its (nonzero) digits is 169869312, while the sum is 63.

The spelling of 268620264243828 in words is "two hundred sixty-eight trillion, six hundred twenty billion, two hundred sixty-four million, two hundred forty-three thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 57 63 76 84 114 126 133 171 228 252 266 342 399 532 684 798 1197 1596 2143 2394 4286 4788 6429 8572 12858 15001 19287 25716 30002 38574 40717 45003 60004 77148 81434 90006 122151 135009 162868 180012 244302 270018 285019 366453 488604 540036 570038 732906 855057 1140076 1465812 1710114 2565171 3420228 5130342 10260684 26179567 52359134 78538701 104718268 157077402 183256969 235616103 314154804 366513938 471232206 497411773 549770907 733027876 942464412 994823546 1099541814 1492235319 1649312721 1989647092 2199083628 2984470638 3298625442 3481882411 4476705957 5968941276 6597250884 6963764822 8953411914 10445647233 13927529644 17906823828 20891294466 31336941699 41782588932 56102812081 62673883398 112205624162 125347766796 168308436243 224411248324 336616872486 392719684567 504925308729 673233744972 785439369134 1009850617458 1065953429539 1178159053701 1570878738268 2019701234916 2131906859078 2356318107402 3197860288617 3534477161103 4263813718156 4712636214804 6395720577234 7068954322206 7461674006773 9593580865851 12791441154468 14137908644412 14923348013546 19187161731702 22385022020319 29846696027092 38374323463404 44770044040638 67155066060957 89540088081276 134310132121914 268620264243828