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23925233088 = 263443910513
BaseRepresentation
bin10110010010000011…
…100001010111000000
32021202101112202210000
4112102003201113000
5342444324424323
614554024440000
71504614061101
oct262203412700
967671482700
1023925233088
11a168196809
124778619000
13234397bb73
14122d7363a8
15950672e43
hex5920e15c0

23925233088 has 140 divisors (see below), whose sum is σ = 71090200720. Its totient is φ = 7956154368.

The previous prime is 23925233071. The next prime is 23925233089. The reversal of 23925233088 is 88033252932.

23925233088 is a `hidden beast` number, since 2 + 3 + 92 + 523 + 30 + 8 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23925233089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2270520 + ... + 2281032.

It is an arithmetic number, because the mean of its divisors is an integer number (507787148).

Almost surely, 223925233088 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 23925233088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35545100360).

23925233088 is an abundant number, since it is smaller than the sum of its proper divisors (47164967632).

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

23925233088 is a wasteful number, since it uses less digits than its factorization.

23925233088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10976 (or 10957 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 23925233088 in words is "twenty-three billion, nine hundred twenty-five million, two hundred thirty-three thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 439 576 648 864 878 1296 1317 1728 1756 2592 2634 3512 3951 5184 5268 7024 7902 10513 10536 11853 14048 15804 21026 21072 23706 28096 31539 31608 35559 42052 42144 47412 63078 63216 71118 84104 84288 94617 94824 126156 126432 142236 168208 189234 189648 252312 252864 283851 284472 336416 378468 379296 504624 567702 568944 672832 756936 758592 851553 1009248 1135404 1137888 1513872 1703106 2018496 2270808 2275776 3027744 3406212 4541616 4615207 6055488 6812424 9083232 9230414 13624848 13845621 18166464 18460828 27249696 27691242 36921656 41536863 54499392 55382484 73843312 83073726 110764968 124610589 147686624 166147452 221529936 249221178 295373248 332294904 373831767 443059872 498442356 664589808 747663534 886119744 996884712 1329179616 1495327068 1993769424 2658359232 2990654136 3987538848 5981308272 7975077696 11962616544 23925233088