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6375847201993 is a prime number
BaseRepresentation
bin101110011000111111000…
…0110111000110011001001
3211120112011202100122201201
41130301332012320303021
51313430213340430433
621321005044544201
71225432303006363
oct134617606706311
924515152318651
106375847201993
112038a88589165
1286b8223b2061
13373316b33489
1418084233dd33
15b0cb525ba7d
hex5cc7e1b8cc9

6375847201993 has 2 divisors, whose sum is σ = 6375847201994. Its totient is φ = 6375847201992.

The previous prime is 6375847201909. The next prime is 6375847202017. The reversal of 6375847201993 is 3991027485736.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4809652520464 + 1566194681529 = 2193092^2 + 1251477^2 .

It is a cyclic number.

It is not a de Polignac number, because 6375847201993 - 29 = 6375847201481 is a prime.

It is not a weakly prime, because it can be changed into another prime (6375847201093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3187923600996 + 3187923600997.

It is an arithmetic number, because the mean of its divisors is an integer number (3187923600997).

It is a 2-persistent number, because it is pandigital, and so is 2⋅6375847201993 = 12751694403986, but 3⋅6375847201993 = 19127541605979 is not.

Almost surely, 26375847201993 is an apocalyptic number.

It is an amenable number.

6375847201993 is a deficient number, since it is larger than the sum of its proper divisors (1).

6375847201993 is an equidigital number, since it uses as much as digits as its factorization.

6375847201993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 68584320, while the sum is 64.

The spelling of 6375847201993 in words is "six trillion, three hundred seventy-five billion, eight hundred forty-seven million, two hundred one thousand, nine hundred ninety-three".