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12505065664 = 267132147161
BaseRepresentation
bin10111010010101110…
…00010100011000000
31012021111111011012011
423221113002203000
5201102244100124
65424510542304
7621613206250
oct135127024300
935244434164
1012505065664
115337868a13
12250bb07994
1312439a1550
14868b31960
154d2c89994
hex2e95c28c0

12505065664 has 56 divisors (see below), whose sum is σ = 30541232288. Its totient is φ = 4947056640.

The previous prime is 12505065607. The next prime is 12505065679. The reversal of 12505065664 is 46656050521.

It is a tau number, because it is divible by the number of its divisors (56).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1067757 + ... + 1079404.

It is an arithmetic number, because the mean of its divisors is an integer number (545379148).

Almost surely, 212505065664 is an apocalyptic number.

12505065664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12505065664 is an abundant number, since it is smaller than the sum of its proper divisors (18036166624).

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

12505065664 is a wasteful number, since it uses less digits than its factorization.

12505065664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2147193 (or 2147183 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 40.

The spelling of 12505065664 in words is "twelve billion, five hundred five million, sixty-five thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 182 208 224 364 416 448 728 832 1456 2912 5824 2147161 4294322 8588644 15030127 17177288 27913093 30060254 34354576 55826186 60120508 68709152 111652372 120241016 137418304 195391651 223304744 240482032 390783302 446609488 480964064 781566604 893218976 961928128 1563133208 1786437952 3126266416 6252532832 12505065664