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23680934085636 = 2232223236372
BaseRepresentation
bin1010110001001101001011…
…01010100000010000000100
310002211212122000100101012100
411120212211222200100010
511100442023111220021
6122210512042152100
74662614423350242
oct530464552402004
9102755560311170
1023680934085636
117600033a26793
1227a5634ab2630
13102a144275129
145bc240243792
152b0ede927626
hex1589a5aa0404

23680934085636 has 81 divisors (see below), whose sum is σ = 60146311122261. Its totient is φ = 7856086545504.

The previous prime is 23680934085583. The next prime is 23680934085703. The reversal of 23680934085636 is 63658043908632.

The square root of 23680934085636 is 4866306.

It is a perfect power (a square), and thus also a powerful number.

23680934085636 is a `hidden beast` number, since 2 + 3 + 6 + 80 + 93 + 408 + 5 + 63 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 633791132100 + 23047142953536 = 796110^2 + 4800744^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6511115610 + ... + 6511119246.

Almost surely, 223680934085636 is an apocalyptic number.

23680934085636 is the 4866306-th square number.

It is an amenable number.

23680934085636 is an abundant number, since it is smaller than the sum of its proper divisors (36465377036625).

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

23680934085636 is an frugal number, since it uses more digits than its factorization.

23680934085636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7730 (or 3865 counting only the distinct ones).

The product of its (nonzero) digits is 134369280, while the sum is 63.

The spelling of 23680934085636 in words is "twenty-three trillion, six hundred eighty billion, nine hundred thirty-four million, eighty-five thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 223 446 669 892 1338 2007 2676 3637 4014 7274 8028 10911 14548 21822 32733 43644 49729 65466 99458 130932 149187 198916 298374 447561 596748 811051 895122 1622102 1790244 2433153 3244204 4866306 7299459 9732612 13227769 14598918 26455538 29197836 39683307 52911076 79366614 119049921 158733228 180864373 238099842 361728746 476199684 542593119 723457492 1085186238 1627779357 2170372476 2949792487 3255558714 5899584974 6511117428 8849377461 11799169948 17698754922 26548132383 35397509844 53096264766 106192529532 657803724601 1315607449202 1973411173803 2631214898404 3946822347606 5920233521409 7893644695212 11840467042818 23680934085636