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57144499649009 is a prime number
BaseRepresentation
bin11001111111000111111011…
…00110100011100111110001
321111022221221102200222022022
430333203331212203213301
524442223413402232014
6321311453135521225
715015360654430013
oct1477437546434761
9244287842628268
1057144499649009
1117231934330463
1264aaba1389215
1325b691abc33a6
141017b468c61b3
156916d60eea8e
hex33f8fd9a39f1

57144499649009 has 2 divisors, whose sum is σ = 57144499649010. Its totient is φ = 57144499649008.

The previous prime is 57144499648877. The next prime is 57144499649011. The reversal of 57144499649009 is 90094699444175.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 34183842423025 + 22960657225984 = 5846695^2 + 4791728^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-57144499649009 is a prime.

Together with 57144499649011, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (57144499649089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28572249824504 + 28572249824505.

It is an arithmetic number, because the mean of its divisors is an integer number (28572249824505).

Almost surely, 257144499649009 is an apocalyptic number.

It is an amenable number.

57144499649009 is a deficient number, since it is larger than the sum of its proper divisors (1).

57144499649009 is an equidigital number, since it uses as much as digits as its factorization.

57144499649009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 352719360, while the sum is 71.

The spelling of 57144499649009 in words is "fifty-seven trillion, one hundred forty-four billion, four hundred ninety-nine million, six hundred forty-nine thousand, nine".