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64057993 is a prime number
BaseRepresentation
bin1111010001011…
…1001010001001
311110112111001021
43310113022021
5112344323433
610204552441
71405324666
oct364271211
9143474037
1064057993
113318279a
1219552721
131036b04c
148716a6d
15595522d
hex3d17289

64057993 has 2 divisors, whose sum is σ = 64057994. Its totient is φ = 64057992.

The previous prime is 64057979. The next prime is 64058053. The reversal of 64057993 is 39975046.

64057993 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., 45118089 + 18939904 = 6717^2 + 4352^2 .

It is a cyclic number.

It is not a de Polignac number, because 64057993 - 213 = 64049801 is a prime.

It is not a weakly prime, because it can be changed into another prime (64057913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 32028996 + 32028997.

It is an arithmetic number, because the mean of its divisors is an integer number (32028997).

Almost surely, 264057993 is an apocalyptic number.

It is an amenable number.

64057993 is a deficient number, since it is larger than the sum of its proper divisors (1).

64057993 is an equidigital number, since it uses as much as digits as its factorization.

64057993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 204120, while the sum is 43.

The square root of 64057993 is about 8003.6237417810. The cubic root of 64057993 is about 400.1207822754.

The spelling of 64057993 in words is "sixty-four million, fifty-seven thousand, nine hundred ninety-three".