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23185993728 = 21231726529
BaseRepresentation
bin10101100101111111…
…100011000000000000
32012211212112112000110
4111211333203000000
5334441103244403
614352420151320
71450366460232
oct254577430000
965755475013
1023185993728
119918986297
1245b0b38540
132256781221
14119d4a6252
1590a7ee103
hex565fe3000

23185993728 has 156 divisors (see below), whose sum is σ = 65682318440. Its totient is φ = 7272923136.

The previous prime is 23185993703. The next prime is 23185993757. The reversal of 23185993728 is 82739958132.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3547968 + ... + 3554496.

Almost surely, 223185993728 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 23185993728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32841159220).

23185993728 is an abundant number, since it is smaller than the sum of its proper divisors (42496324712).

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

23185993728 is an equidigital number, since it uses as much as digits as its factorization.

23185993728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6590 (or 6551 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 57.

The spelling of 23185993728 in words is "twenty-three billion, one hundred eighty-five million, nine hundred ninety-three thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 289 384 408 512 544 578 768 816 867 1024 1088 1156 1536 1632 1734 2048 2176 2312 3072 3264 3468 4096 4352 4624 6144 6528 6529 6936 8704 9248 12288 13056 13058 13872 17408 18496 19587 26112 26116 27744 34816 36992 39174 52224 52232 55488 69632 73984 78348 104448 104464 110976 110993 147968 156696 208896 208928 221952 221986 295936 313392 332979 417856 443904 443972 591872 626784 665958 835712 887808 887944 1183744 1253568 1331916 1671424 1775616 1775888 1886881 2507136 2663832 3342848 3551232 3551776 3773762 5014272 5327664 5660643 6685696 7103552 7547524 10028544 10655328 11321286 13371392 14207104 15095048 20057088 21310656 22642572 26742784 28414208 30190096 40114176 42621312 45285144 56828416 60380192 80228352 85242624 90570288 113656832 120760384 170485248 181140576 227313664 241520768 340970496 362281152 454627328 483041536 681940992 724562304 966083072 1363881984 1449124608 1932166144 2898249216 3864332288 5796498432 7728664576 11592996864 23185993728