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12642138594 = 2321093642581
BaseRepresentation
bin10111100011000011…
…11011100111100010
31012122001102011220100
423301201323213202
5201342341413334
65450244523230
7625166255631
oct136141734742
935561364810
1012642138594
1153a8180928
1225499b0516
1312661c54a7
1487d013518
154ded13c99
hex2f187b9e2

12642138594 has 24 divisors (see below), whose sum is σ = 27416403612. Its totient is φ = 4210184160.

The previous prime is 12642138569. The next prime is 12642138599. The reversal of 12642138594 is 49583124621.

12642138594 is a `hidden beast` number, since 1 + 2 + 6 + 4 + 21 + 38 + 594 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9052571025 + 3589567569 = 95145^2 + 59913^2 .

It is not an unprimeable number, because it can be changed into a prime (12642138599) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 301617 + ... + 340964.

Almost surely, 212642138594 is an apocalyptic number.

12642138594 is an abundant number, since it is smaller than the sum of its proper divisors (14774265018).

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

12642138594 is a wasteful number, since it uses less digits than its factorization.

12642138594 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643682 (or 643679 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The spelling of 12642138594 in words is "twelve billion, six hundred forty-two million, one hundred thirty-eight thousand, five hundred ninety-four".

Divisors: 1 2 3 6 9 18 1093 2186 3279 6558 9837 19674 642581 1285162 1927743 3855486 5783229 11566458 702341033 1404682066 2107023099 4214046198 6321069297 12642138594