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12675822642 = 232721722232
BaseRepresentation
bin10111100111000100…
…11011010000110010
31012201101210111201200
423303202123100302
5201430002311032
65453450512030
7626055500100
oct136342332062
935641714650
1012675822642
11541519818a
122559135616
13127018a292
148836a0c70
154e2c6947c
hex2f389b432

12675822642 has 162 divisors, whose sum is σ = 34090974333. Its totient is φ = 3393339264.

The previous prime is 12675822641. The next prime is 12675822647. The reversal of 12675822642 is 24622857621.

12675822642 is a `hidden beast` number, since 1 + 2 + 6 + 7 + 582 + 2 + 64 + 2 = 666.

12675822642 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 11601228681 + 1074593961 = 107709^2 + 32781^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=79611.

Its product of digits (645120) is a multiple of the sum of its prime divisors (252).

It is not an unprimeable number, because it can be changed into a prime (12675822641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 56842143 + ... + 56842365.

Almost surely, 212675822642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12675822642

12675822642 is an abundant number, since it is smaller than the sum of its proper divisors (21415151691).

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

12675822642 is a wasteful number, since it uses less digits than its factorization.

12675822642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 252 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The spelling of 12675822642 in words is "twelve billion, six hundred seventy-five million, eight hundred twenty-two thousand, six hundred forty-two".