Search a number
-
+
23955361792128 = 2732132123044881
BaseRepresentation
bin1010111001001100010101…
…10101001000000010000000
310010211002222100111022000200
411130212022311020002000
511114441040104322003
6122540535152245200
75021501124356214
oct534461265100200
9103732870438020
1023955361792128
1176a6459242418
12282a862240800
131049c9a122a00
145cb634dc8944
152b820206a6a3
hex15c98ad48080

23955361792128 has 144 divisors (see below), whose sum is σ = 74644562440890. Its totient is φ = 7370880491520.

The previous prime is 23955361792123. The next prime is 23955361792183. The reversal of 23955361792128 is 82129716355932.

23955361792128 is a `hidden beast` number, since 2 + 3 + 9 + 5 + 5 + 3 + 617 + 9 + 2 + 1 + 2 + 8 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 4622878407744 + 19332483384384 = 2150088^2 + 4396872^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (23955361792123) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 61327753 + ... + 61717128.

Almost surely, 223955361792128 is an apocalyptic number.

It is an amenable number.

23955361792128 is an abundant number, since it is smaller than the sum of its proper divisors (50689200648762).

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

23955361792128 is a wasteful number, since it uses less digits than its factorization.

23955361792128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123044927 (or 123044899 counting only the distinct ones).

The product of its digits is 48988800, while the sum is 63.

The spelling of 23955361792128 in words is "twenty-three trillion, nine hundred fifty-five billion, three hundred sixty-one million, seven hundred ninety-two thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 169 192 208 234 288 312 338 384 416 468 507 576 624 676 832 936 1014 1152 1248 1352 1521 1664 1872 2028 2496 2704 3042 3744 4056 4992 5408 6084 7488 8112 10816 12168 14976 16224 21632 24336 32448 48672 64896 97344 194688 123044881 246089762 369134643 492179524 738269286 984359048 1107403929 1476538572 1599583453 1968718096 2214807858 2953077144 3199166906 3937436192 4429615716 4798750359 5906154288 6398333812 7874872384 8859231432 9597500718 11812308576 12796667624 14396251077 15749744768 17718462864 19195001436 20794584889 23624617152 25593335248 28792502154 35436925728 38390002872 41589169778 47249234304 51186670496 57585004308 62383754667 70873851456 76780005744 83178339556 102373340992 115170008616 124767509334 141747702912 153560011488 166356679112 187151264001 204746681984 230340017232 249535018668 307120022976 332713358224 374302528002 460680034464 499070037336 614240045952 665426716448 748605056004 921360068928 998140074672 1330853432896 1497210112008 1842720137856 1996280149344 2661706865792 2994420224016 3992560298688 5988840448032 7985120597376 11977680896064 23955361792128