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12076742142 = 234617120823
BaseRepresentation
bin10110011111101010…
…00111010111111110
31011011122112001210000
423033311013113332
5144213121222032
65314210255130
7605162420523
oct131765072776
934148461700
1012076742142
115138008133
1224105874a6
1311a602408a
14827cb714a
154aa37de7c
hex2cfd475fe

12076742142 has 40 divisors (see below), whose sum is σ = 27104931216. Its totient is φ = 4019023008.

The previous prime is 12076742141. The next prime is 12076742147. The reversal of 12076742142 is 24124767021.

12076742142 is a `hidden beast` number, since 120 + 76 + 7 + 421 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12076742097 and 12076742106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12076742141) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 39543 + ... + 160365.

Almost surely, 212076742142 is an apocalyptic number.

12076742142 is an abundant number, since it is smaller than the sum of its proper divisors (15028189074).

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

12076742142 is a wasteful number, since it uses less digits than its factorization.

12076742142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121454 (or 121445 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 12076742142 in words is "twelve billion, seventy-six million, seven hundred forty-two thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 617 1234 1851 3702 5553 11106 16659 33318 49977 99954 120823 241646 362469 724938 1087407 2174814 3262221 6524442 9786663 19573326 74547791 149095582 223643373 447286746 670930119 1341860238 2012790357 4025580714 6038371071 12076742142