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57984697404593 is a prime number
BaseRepresentation
bin11010010111100100111010…
…10010101000110010110001
321121022021122021000021110022
431023302131102220302301
530100010130013421333
6323153445141413225
715133153566501521
oct1513623522506261
9247267567007408
1057984697404593
1117526199032963
1266059a5a0a215
132647c19ba1b4b
14104668d7b5681
156a84ad43cc98
hex34bc9d4a8cb1

57984697404593 has 2 divisors, whose sum is σ = 57984697404594. Its totient is φ = 57984697404592.

The previous prime is 57984697404563. The next prime is 57984697404653. The reversal of 57984697404593 is 39540479648975.

57984697404593 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 29149816489249 + 28834880915344 = 5399057^2 + 5369812^2 .

It is a cyclic number.

It is not a de Polignac number, because 57984697404593 - 220 = 57984696356017 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (57984697404533) 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, 28992348702296 + 28992348702297.

It is an arithmetic number, because the mean of its divisors is an integer number (28992348702297).

Almost surely, 257984697404593 is an apocalyptic number.

It is an amenable number.

57984697404593 is a deficient number, since it is larger than the sum of its proper divisors (1).

57984697404593 is an equidigital number, since it uses as much as digits as its factorization.

57984697404593 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8230118400, while the sum is 80.

The spelling of 57984697404593 in words is "fifty-seven trillion, nine hundred eighty-four billion, six hundred ninety-seven million, four hundred four thousand, five hundred ninety-three".