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12166575824052 = 223213100992574211
BaseRepresentation
bin1011000100001100000001…
…1011100001110010110100
31121002010001120212201120100
42301003000123201302310
53043314121402332202
641513125304034100
72364002043112266
oct261030033416264
947063046781510
1012166575824052
1139708a79639a1
121445b69762930
136a33c3107a50
14300c18993b36
15161731d3a41c
hexb10c06e1cb4

12166575824052 has 72 divisors (see below), whose sum is σ = 33123415488800. Its totient is φ = 3743189651520.

The previous prime is 12166575824033. The next prime is 12166575824069. The reversal of 12166575824052 is 25042857566121.

12166575824052 is a `hidden beast` number, since 1 + 2 + 1 + 6 + 6 + 5 + 7 + 582 + 4 + 0 + 52 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 12166575824052.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3439227 + ... + 6013437.

Almost surely, 212166575824052 is an apocalyptic number.

12166575824052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12166575824052 is an abundant number, since it is smaller than the sum of its proper divisors (20956839664748).

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

12166575824052 is a wasteful number, since it uses less digits than its factorization.

12166575824052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2584333 (or 2584328 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 54.

The spelling of 12166575824052 in words is "twelve trillion, one hundred sixty-six billion, five hundred seventy-five million, eight hundred twenty-four thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 10099 20198 30297 40396 60594 90891 121188 131287 181782 262574 363564 393861 525148 787722 1181583 1575444 2363166 2574211 4726332 5148422 7722633 10296844 15445266 23167899 30890532 33464743 46335798 66929486 92671596 100394229 133858972 200788458 301182687 401576916 602365374 1204730748 25996956889 51993913778 77990870667 103987827556 155981741334 233972612001 311963482668 337960439557 467945224002 675920879114 935890448004 1013881318671 1351841758228 2027762637342 3041643956013 4055525274684 6083287912026 12166575824052