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12886638593 is a prime number
BaseRepresentation
bin11000000000001101…
…01000000000000001
31020021002111001211212
430000012220000001
5202342434413333
65530421215505
7634225422623
oct140006500001
936232431755
1012886638593
115513198344
1225b7861595
1312a4a6064a
148a369ac13
1550650d448
hex3001a8001

12886638593 has 2 divisors, whose sum is σ = 12886638594. Its totient is φ = 12886638592.

The previous prime is 12886638539. The next prime is 12886638601. The reversal of 12886638593 is 39583668821.

Together with previous prime (12886638539) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7525909504 + 5360729089 = 86752^2 + 73217^2 .

It is a cyclic number.

It is not a de Polignac number, because 12886638593 - 216 = 12886573057 is a prime.

It is not a weakly prime, because it can be changed into another prime (12886638893) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6443319296 + 6443319297.

It is an arithmetic number, because the mean of its divisors is an integer number (6443319297).

Almost surely, 212886638593 is an apocalyptic number.

It is an amenable number.

12886638593 is a deficient number, since it is larger than the sum of its proper divisors (1).

12886638593 is an equidigital number, since it uses as much as digits as its factorization.

12886638593 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 14929920, while the sum is 59.

The spelling of 12886638593 in words is "twelve billion, eight hundred eighty-six million, six hundred thirty-eight thousand, five hundred ninety-three".