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12641256531 = 3212717363929
BaseRepresentation
bin10111100010111101…
…00100010001010011
31012121222202100221100
423301132210101103
5201342130202111
65450213555443
7625155623211
oct136136442123
935558670840
1012641256531
1153a7729152
122549645b83
131265c76b67
1487cc63cb1
154debdc756
hex2f17a4453

12641256531 has 24 divisors (see below), whose sum is σ = 18510036480. Its totient is φ = 8312685696.

The previous prime is 12641256521. The next prime is 12641256541. The reversal of 12641256531 is 13565214621.

12641256531 is a `hidden beast` number, since 1 + 2 + 64 + 1 + 2 + 565 + 31 = 666.

12641256531 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12641256521) and next prime (12641256541).

It is a de Polignac number, because none of the positive numbers 2k-12641256531 is a prime.

It is a super-2 number, since 2×126412565312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12641256521) 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 23 ways as a sum of consecutive naturals, for example, 165775 + ... + 229703.

It is an arithmetic number, because the mean of its divisors is an integer number (771251520).

Almost surely, 212641256531 is an apocalyptic number.

12641256531 is a deficient number, since it is larger than the sum of its proper divisors (5868779949).

12641256531 is a wasteful number, since it uses less digits than its factorization.

12641256531 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64235 (or 64232 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The spelling of 12641256531 in words is "twelve billion, six hundred forty-one million, two hundred fifty-six thousand, five hundred thirty-one".

Divisors: 1 3 9 127 173 381 519 1143 1557 21971 63929 65913 191787 197739 575361 8118983 11059717 24356949 33179151 73070847 99537453 1404584059 4213752177 12641256531