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12017074005768 = 23313257149868727
BaseRepresentation
bin1010111011011111000101…
…1011010110011100001000
31120112211011112211110112110
42232313301123112130020
53033341431421141033
641320322333142320
72350130203452666
oct256676133263410
946484145743473
1012017074005768
113913459aa0077
121420ba592a9a0
13692288b24b90
142d78b5443c36
1515c8d1d65363
hexaedf16d6708

12017074005768 has 64 divisors (see below), whose sum is σ = 32479550732160. Its totient is φ = 3683173810176.

The previous prime is 12017074005719. The next prime is 12017074005779. The reversal of 12017074005768 is 86750047071021.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74854180 + ... + 75014547.

It is an arithmetic number, because the mean of its divisors is an integer number (507492980190).

Almost surely, 212017074005768 is an apocalyptic number.

It is an amenable number.

12017074005768 is an abundant number, since it is smaller than the sum of its proper divisors (20462476726392).

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

12017074005768 is a wasteful number, since it uses less digits than its factorization.

12017074005768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149869006 (or 149869002 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 48.

The spelling of 12017074005768 in words is "twelve trillion, seventeen billion, seventy-four million, five thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 257 312 514 771 1028 1542 2056 3084 3341 6168 6682 10023 13364 20046 26728 40092 80184 149868727 299737454 449606181 599474908 899212362 1198949816 1798424724 1948293451 3596849448 3896586902 5844880353 7793173804 11689760706 15586347608 23379521412 38516262839 46759042824 77032525678 115548788517 154065051356 231097577034 308130102712 462195154068 500711416907 924390308136 1001422833814 1502134250721 2002845667628 3004268501442 4005691335256 6008537002884 12017074005768