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12707452564146 = 232766079215471
BaseRepresentation
bin1011100011101010111100…
…1100100011001010110010
31122222211011012212222121200
42320322233030203022302
53131144330324023041
643005420105432030
72451040343414214
oct270725714431262
948884135788550
1012707452564146
11405a22276521a
12151295819b616
137123ccb495a2
1431d0889a85b4
1517083b3da1b6
hexb8eaf3232b2

12707452564146 has 24 divisors (see below), whose sum is σ = 27533176280064. Its totient is φ = 4235761768920.

The previous prime is 12707452564111. The next prime is 12707452564193. The reversal of 12707452564146 is 64146525470721.

12707452564146 is a `hidden beast` number, since 1 + 2 + 7 + 0 + 74 + 5 + 2 + 564 + 1 + 4 + 6 = 666.

It is a super-2 number, since 2×127074525641462 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12707452564092 and 12707452564101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3228810 + ... + 5986661.

It is an arithmetic number, because the mean of its divisors is an integer number (1147215678336).

Almost surely, 212707452564146 is an apocalyptic number.

12707452564146 is an abundant number, since it is smaller than the sum of its proper divisors (14825723715918).

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

12707452564146 is a wasteful number, since it uses less digits than its factorization.

12707452564146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9292086 (or 9292083 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 54.

The spelling of 12707452564146 in words is "twelve trillion, seven hundred seven billion, four hundred fifty-two million, five hundred sixty-four thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 18 76607 153214 229821 459642 689463 1378926 9215471 18430942 27646413 55292826 82939239 165878478 705969586897 1411939173794 2117908760691 4235817521382 6353726282073 12707452564146