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9997640593 is a prime number
BaseRepresentation
bin10010100111110011…
…11110001110010001
3221210202022202121221
421103321332032101
5130433343444333
64332020045041
7502515354133
oct112371761621
927722282557
109997640593
114270453396
121b30233781
13c34372585
146abb0b053
153d7a93d2d
hex253e7e391

9997640593 has 2 divisors, whose sum is σ = 9997640594. Its totient is φ = 9997640592.

The previous prime is 9997640563. The next prime is 9997640651. The reversal of 9997640593 is 3950467999.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9314759169 + 682881424 = 96513^2 + 26132^2 .

It is a cyclic number.

It is not a de Polignac number, because 9997640593 - 25 = 9997640561 is a prime.

It is not a weakly prime, because it can be changed into another prime (9997640563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4998820296 + 4998820297.

It is an arithmetic number, because the mean of its divisors is an integer number (4998820297).

Almost surely, 29997640593 is an apocalyptic number.

It is an amenable number.

9997640593 is a deficient number, since it is larger than the sum of its proper divisors (1).

9997640593 is an equidigital number, since it uses as much as digits as its factorization.

9997640593 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16533720, while the sum is 61.

The square root of 9997640593 is about 99988.2022690677. The cubic root of 9997640593 is about 2154.2652370946.

The spelling of 9997640593 in words is "nine billion, nine hundred ninety-seven million, six hundred forty thousand, five hundred ninety-three".