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12857260208137 is a prime number
BaseRepresentation
bin1011101100011001000001…
…1011010111000000001001
31200112010211120101210122121
42323012100123113000021
53141123132103130022
643202313243251241
72464622615365612
oct273062033270011
950463746353577
1012857260208137
114107808221464
1215379a6519b21
137235855b9b07
1432641a9a6c09
151746a81702c7
hexbb1906d7009

12857260208137 has 2 divisors, whose sum is σ = 12857260208138. Its totient is φ = 12857260208136.

The previous prime is 12857260208087. The next prime is 12857260208141. The reversal of 12857260208137 is 73180206275821.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6647300871696 + 6209959336441 = 2578236^2 + 2491979^2 .

It is a cyclic number.

It is not a de Polignac number, because 12857260208137 - 227 = 12857125990409 is a prime.

It is a super-2 number, since 2×128572602081372 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12857560208137) 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 as a sum of consecutive naturals, namely, 6428630104068 + 6428630104069.

It is an arithmetic number, because the mean of its divisors is an integer number (6428630104069).

Almost surely, 212857260208137 is an apocalyptic number.

It is an amenable number.

12857260208137 is a deficient number, since it is larger than the sum of its proper divisors (1).

12857260208137 is an equidigital number, since it uses as much as digits as its factorization.

12857260208137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2257920, while the sum is 52.

The spelling of 12857260208137 in words is "twelve trillion, eight hundred fifty-seven billion, two hundred sixty million, two hundred eight thousand, one hundred thirty-seven".