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23640685779282 = 231113711093560311
BaseRepresentation
bin1010110000000010001101…
…01011011001100101010010
310002201000202001001120102020
411120001012223121211102
511044312111024414112
6122140214153232310
74656661142400225
oct530010653314522
9102630661046366
1023640685779282
117594a5a8a1490
122799881a02696
1310263cb924040
145ba302abb5bc
152aee3624348c
hex158046ad9952

23640685779282 has 128 divisors (see below), whose sum is σ = 56846504816640. Its totient is φ = 6459826464000.

The previous prime is 23640685779251. The next prime is 23640685779343. The reversal of 23640685779282 is 28297758604632.

It is a super-2 number, since 2×236406857792822 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4859907 + ... + 8420217.

It is an arithmetic number, because the mean of its divisors is an integer number (444113318880).

Almost surely, 223640685779282 is an apocalyptic number.

23640685779282 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 23640685779282, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28423252408320).

23640685779282 is an abundant number, since it is smaller than the sum of its proper divisors (33205819037358).

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

23640685779282 is a wasteful number, since it uses less digits than its factorization.

23640685779282 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3560520.

The product of its (nonzero) digits is 487710720, while the sum is 69.

The spelling of 23640685779282 in words is "twenty-three trillion, six hundred forty billion, six hundred eighty-five million, seven hundred seventy-nine thousand, two hundred eighty-two".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 71 78 109 142 143 213 218 286 327 426 429 654 781 858 923 1199 1417 1562 1846 2343 2398 2769 2834 3597 4251 4686 5538 7194 7739 8502 10153 15478 15587 20306 23217 30459 31174 46434 46761 60918 85129 93522 100607 170258 201214 255387 301821 510774 603642 1106677 2213354 3320031 3560311 6640062 7120622 10680933 21361866 39163421 46284043 78326842 92568086 117490263 138852129 234980526 252782081 277704258 388073899 505564162 509124473 758346243 776147798 1018248946 1164221697 1516692486 1527373419 2328443394 2780602891 3054746838 3286167053 4268812889 5044960687 5561205782 6572334106 8341808673 8537625778 9858501159 10089921374 12806438667 15134882061 16683617346 19717002318 25612877334 27553246829 30269764122 36147837583 55106493658 55494567557 72295675166 82659740487 108443512749 110989135114 165319480974 166483702671 216887025498 303085715119 332967405342 358192208777 606171430238 716384417554 909257145357 1074576626331 1818514290714 2149153252662 3940114296547 7880228593094 11820342889641 23640685779282