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12638868407393 is a prime number
BaseRepresentation
bin1011011111101011011101…
…0000110000010001100001
31122202021010110200211112212
42313322313100300101201
53124033400303014033
642514114353131505
72443061640614354
oct267726720602141
948667113624485
1012638868407393
1140331287a3138
1215015b7559b95
13708abcb39b07
14319a2002a29b
1516db7524d748
hexb7eb7430461

12638868407393 has 2 divisors, whose sum is σ = 12638868407394. Its totient is φ = 12638868407392.

The previous prime is 12638868407339. The next prime is 12638868407401. The reversal of 12638868407393 is 39370486883621.

12638868407393 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with previous prime (12638868407339) 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., 7443331693009 + 5195536714384 = 2728247^2 + 2279372^2 .

It is a cyclic number.

It is not a de Polignac number, because 12638868407393 - 228 = 12638599971937 is a prime.

It is not a weakly prime, because it can be changed into another prime (12638868407093) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6319434203696 + 6319434203697.

It is an arithmetic number, because the mean of its divisors is an integer number (6319434203697).

Almost surely, 212638868407393 is an apocalyptic number.

It is an amenable number.

12638868407393 is a deficient number, since it is larger than the sum of its proper divisors (1).

12638868407393 is an equidigital number, since it uses as much as digits as its factorization.

12638868407393 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 250822656, while the sum is 68.

The spelling of 12638868407393 in words is "twelve trillion, six hundred thirty-eight billion, eight hundred sixty-eight million, four hundred seven thousand, three hundred ninety-three".