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12067014634056 = 2333202727560833
BaseRepresentation
bin1010111110011001001000…
…0111101110101001001000
31120201121001222221020111000
42233212102013232221020
53040201221221242211
641355302054135000
72353545605006244
oct257462207565110
946647058836430
1012067014634056
1139326571a1298
12142a802951460
13696bb74a78c5
142da091d1b424
1515dd563cd656
hexaf9921eea48

12067014634056 has 64 divisors (see below), whose sum is σ = 33536022811200. Its totient is φ = 4020353685504.

The previous prime is 12067014634033. The next prime is 12067014634139. The reversal of 12067014634056 is 65043641076021.

12067014634056 is a `hidden beast` number, since 1 + 2 + 0 + 6 + 7 + 0 + 1 + 4 + 634 + 0 + 5 + 6 = 666.

12067014634056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×120670146340562 (a number of 27 digits) contains 22 as substring.

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, 13342585 + ... + 14218248.

It is an arithmetic number, because the mean of its divisors is an integer number (524000356425).

Almost surely, 212067014634056 is an apocalyptic number.

It is an amenable number.

12067014634056 is an abundant number, since it is smaller than the sum of its proper divisors (21469008177144).

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

12067014634056 is a wasteful number, since it uses less digits than its factorization.

12067014634056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27562875 (or 27562865 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 12067014634056 in words is "twelve trillion, sixty-seven billion, fourteen million, six hundred thirty-four thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 2027 4054 6081 8108 12162 16216 18243 24324 36486 48648 54729 72972 109458 145944 218916 437832 27560833 55121666 82682499 110243332 165364998 220486664 248047497 330729996 496094994 661459992 744142491 992189988 1488284982 1984379976 2976569964 5953139928 55865808491 111731616982 167597425473 223463233964 335194850946 446926467928 502792276419 670389701892 1005584552838 1340779403784 1508376829257 2011169105676 3016753658514 4022338211352 6033507317028 12067014634056