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23185068192 = 25321113562963
BaseRepresentation
bin10101100101111100…
…000001000010100000
32012211210210111102100
4111211330001002200
5334440334140232
614352344250400
71450355553666
oct254574010240
965753714370
1023185068192
119918403990
1245b0770a00
132256518b80
14119d304c36
1590a6b9c7c
hex565f010a0

23185068192 has 144 divisors (see below), whose sum is σ = 77459342688. Its totient is φ = 6485322240.

The previous prime is 23185068173. The next prime is 23185068233. The reversal of 23185068192 is 29186058132.

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 240298 + ... + 322665.

It is an arithmetic number, because the mean of its divisors is an integer number (537912102).

Almost surely, 223185068192 is an apocalyptic number.

23185068192 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23185068192 is an abundant number, since it is smaller than the sum of its proper divisors (54274274496).

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

23185068192 is a wasteful number, since it uses less digits than its factorization.

23185068192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563003 (or 562992 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 23185068192 in words is "twenty-three billion, one hundred eighty-five million, sixty-eight thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 32 33 36 39 44 48 52 66 72 78 88 96 99 104 117 132 143 144 156 176 198 208 234 264 286 288 312 352 396 416 429 468 528 572 624 792 858 936 1056 1144 1248 1287 1584 1716 1872 2288 2574 3168 3432 3744 4576 5148 6864 10296 13728 20592 41184 562963 1125926 1688889 2251852 3377778 4503704 5066667 6192593 6755556 7318519 9007408 10133334 12385186 13511112 14637038 18014816 18577779 20266668 21955557 24770372 27022224 29274076 37155558 40533336 43911114 49540744 54044448 55733337 58548152 65866671 74311116 80503709 81066672 87822228 99081488 111466674 117096304 131733342 148622232 161007418 162133344 175644456 198162976 222933348 234192608 241511127 263466684 297244464 322014836 351288912 445866696 483022254 526933368 594488928 644029672 702577824 724533381 891733392 966044508 1053866736 1288059344 1449066762 1783466784 1932089016 2107733472 2576118688 2898133524 3864178032 5796267048 7728356064 11592534096 23185068192