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23980600608932 = 2211323269972559
BaseRepresentation
bin1010111001111011010110…
…01011100100100010100100
310010220112010021210000220102
411130331223023210202210
511120344232223441212
6123000311423523232
75023353431644412
oct534755313444244
9103815107700812
1023980600608932
11770612a964000
122833726759518
13104c48cc84636
145cc94ad7a2b2
152b8bccbb35c2
hex15cf6b2e48a4

23980600608932 has 96 divisors (see below), whose sum is σ = 48184948224000. Its totient is φ = 10422341408160.

The previous prime is 23980600608929. The next prime is 23980600608947.

23980600608932 is nontrivially palindromic in base 10.

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 31 ways as a sum of consecutive naturals, for example, 330461669 + ... + 330534227.

It is an arithmetic number, because the mean of its divisors is an integer number (501926544000).

Almost surely, 223980600608932 is an apocalyptic number.

23980600608932 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23980600608932 is an abundant number, since it is smaller than the sum of its proper divisors (24204347615068).

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

23980600608932 is a wasteful number, since it uses less digits than its factorization.

23980600608932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75318 (or 75294 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 56.

The spelling of 23980600608932 in words is "twenty-three trillion, nine hundred eighty billion, six hundred million, six hundred eight thousand, nine hundred thirty-two".

Divisors: 1 2 4 11 22 23 44 46 92 121 242 253 484 506 1012 1331 2662 2699 2783 5324 5398 5566 10796 11132 29689 30613 59378 61226 62077 72559 118756 122452 124154 145118 248308 290236 326579 653158 682847 798149 1306316 1365694 1596298 1668857 2731388 3192596 3337714 3592369 6675428 7184738 7511317 8779639 14369476 15022634 17559278 18357427 30045268 35118556 36714854 73429708 82624487 96576029 165248974 193152058 195836741 201931697 330497948 386304116 391673482 403863394 783346964 807726788 2154204151 2221248667 4308408302 4442497334 4504245043 8616816604 8884994668 9008490086 18016980172 23696245661 47392491322 49546695473 94784982644 99093390946 198186781892 260658702271 521317404542 545013650203 1042634809084 1090027300406 2180054600812 5995150152233 11990300304466 23980600608932