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23332685904 = 24331129169313
BaseRepresentation
bin10101101110101111…
…001000100001010000
32020020002120020212000
4111232233020201100
5340241131422104
614415140234000
71454130362223
oct255657104120
966202506760
1023332685904
1199937692a0
12463209b900
13227ac92628
1411b4b6d5ba
15918628639
hex56ebc8850

23332685904 has 160 divisors (see below), whose sum is σ = 75581769600. Its totient is φ = 6826659840.

The previous prime is 23332685903. The next prime is 23332685911. The reversal of 23332685904 is 40958623332.

23332685904 is a `hidden beast` number, since 2 + 3 + 33 + 26 + 8 + 590 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 23332685904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23332685903) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53152 + ... + 222464.

It is an arithmetic number, because the mean of its divisors is an integer number (472386060).

Almost surely, 223332685904 is an apocalyptic number.

23332685904 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23332685904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37790884800).

23332685904 is an abundant number, since it is smaller than the sum of its proper divisors (52249083696).

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

23332685904 is a wasteful number, since it uses less digits than its factorization.

23332685904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169370 (or 169358 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 23332685904 in words is "twenty-three billion, three hundred thirty-two million, six hundred eighty-five thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 29 33 36 44 48 54 58 66 72 87 88 99 108 116 132 144 174 176 198 216 232 261 264 297 319 348 396 432 464 522 528 594 638 696 783 792 957 1044 1188 1276 1392 1566 1584 1914 2088 2376 2552 2871 3132 3828 4176 4752 5104 5742 6264 7656 8613 11484 12528 15312 17226 22968 34452 45936 68904 137808 169313 338626 507939 677252 1015878 1354504 1523817 1862443 2031756 2709008 3047634 3724886 4063512 4571451 4910077 5587329 6095268 7449772 8127024 9142902 9820154 11174658 12190536 14730231 14899544 16761987 18285804 19640308 22349316 24381072 29460462 29799088 33523974 36571608 39280616 44190693 44698632 50285961 54010847 58920924 67047948 73143216 78561232 88381386 89397264 100571922 108021694 117841848 132572079 134095896 162032541 176762772 201143844 216043388 235683696 265144158 268191792 324065082 353525544 402287688 432086776 486097623 530288316 648130164 707051088 804575376 864173552 972195246 1060576632 1296260328 1458292869 1944390492 2121153264 2592520656 2916585738 3888780984 5833171476 7777561968 11666342952 23332685904