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23409812865792 = 283751161325163
BaseRepresentation
bin1010101001010100001011…
…00101001000001100000000
310001212221211002221101100110
411110222011211020030000
511032021244043201132
6121442153005351320
74634205662121123
oct524520545101400
9101787732841313
1023409812865792
117506056085451
122760b8ab68540
13100a6c743b222
145ad0806863ba
152a8e227191cc
hex154a85948300

23409812865792 has 144 divisors (see below), whose sum is σ = 62428361845248. Its totient is φ = 7787739648000.

The previous prime is 23409812865763. The next prime is 23409812865833. The reversal of 23409812865792 is 29756821890432.

It is a super-2 number, since 2×234098128657922 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 930314203 + ... + 930339365.

It is an arithmetic number, because the mean of its divisors is an integer number (433530290592).

It is a 1-persistent number, because it is pandigital, but 2⋅23409812865792 = 46819625731584 is not.

Almost surely, 223409812865792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23409812865792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31214180922624).

23409812865792 is an abundant number, since it is smaller than the sum of its proper divisors (39018548979456).

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

23409812865792 is a wasteful number, since it uses less digits than its factorization.

23409812865792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27546 (or 27532 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 66.

The spelling of 23409812865792 in words is "twenty-three trillion, four hundred nine billion, eight hundred twelve million, eight hundred sixty-five thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 751 768 1502 1613 2253 3004 3226 4506 4839 6008 6452 9012 9678 12016 12904 18024 19356 24032 25163 25808 36048 38712 48064 50326 51616 72096 75489 77424 96128 100652 103232 144192 150978 154848 192256 201304 206464 288384 301956 309696 402608 412928 576768 603912 619392 805216 1207824 1211363 1238784 1610432 2415648 2422726 3220864 3634089 4831296 4845452 6441728 7268178 9662592 9690904 14536356 18897413 19325184 19381808 29072712 37794826 38763616 40587919 56692239 58145424 75589652 77527232 81175838 113384478 116290848 121763757 151179304 155054464 162351676 226768956 232581696 243527514 302358608 310108928 324703352 453537912 465163392 487055028 604717216 649406704 907075824 930326784 974110056 1209434432 1298813408 1814151648 1948220112 2418868864 2597626816 3628303296 3896440224 4837737728 5195253632 7256606592 7792880448 10390507264 14513213184 15585760896 30481527169 31171521792 60963054338 91444581507 121926108676 182889163014 243852217352 365778326028 487704434704 731556652056 975408869408 1463113304112 1950817738816 2926226608224 3901635477632 5852453216448 7803270955264 11704906432896 23409812865792