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12640241532937 is a prime number
BaseRepresentation
bin1011011111110000100100…
…0110110100000000001001
31122202101200011110211200111
42313330021012310000021
53124044203313023222
642514502524034321
72443140653160004
oct267741106640011
948671604424614
1012640241532937
1140337728a6737
12150191b3929a1
13708c7b469135
14319b1054453b
1516dc05a85777
hexb7f091b4009

12640241532937 has 2 divisors, whose sum is σ = 12640241532938. Its totient is φ = 12640241532936.

The previous prime is 12640241532913. The next prime is 12640241532991. The reversal of 12640241532937 is 73923514204621.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7365231498816 + 5275010034121 = 2713896^2 + 2296739^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12640241532937 is a prime.

It is not a weakly prime, because it can be changed into another prime (12640241532137) 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, 6320120766468 + 6320120766469.

It is an arithmetic number, because the mean of its divisors is an integer number (6320120766469).

Almost surely, 212640241532937 is an apocalyptic number.

It is an amenable number.

12640241532937 is a deficient number, since it is larger than the sum of its proper divisors (1).

12640241532937 is an equidigital number, since it uses as much as digits as its factorization.

12640241532937 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2177280, while the sum is 49.

The spelling of 12640241532937 in words is "twelve trillion, six hundred forty billion, two hundred forty-one million, five hundred thirty-two thousand, nine hundred thirty-seven".