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2564678393 is a prime number
BaseRepresentation
bin1001100011011101…
…1110001011111001
320121201220011100122
42120313132023321
520223024202033
61102253543025
7120361256324
oct23067361371
96551804318
102564678393
1110a676a922
125b6aa4a75
1331b4569a4
141a48897bb
15100254a98
hex98dde2f9

2564678393 has 2 divisors, whose sum is σ = 2564678394. Its totient is φ = 2564678392.

The previous prime is 2564678323. The next prime is 2564678447. The reversal of 2564678393 is 3938764652.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1292186809 + 1272491584 = 35947^2 + 35672^2 .

It is a cyclic number.

It is not a de Polignac number, because 2564678393 - 212 = 2564674297 is a prime.

It is not a weakly prime, because it can be changed into another prime (2564678323) 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, 1282339196 + 1282339197.

It is an arithmetic number, because the mean of its divisors is an integer number (1282339197).

Almost surely, 22564678393 is an apocalyptic number.

It is an amenable number.

2564678393 is a deficient number, since it is larger than the sum of its proper divisors (1).

2564678393 is an equidigital number, since it uses as much as digits as its factorization.

2564678393 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6531840, while the sum is 53.

The square root of 2564678393 is about 50642.6538897795. The cubic root of 2564678393 is about 1368.8135772530.

The spelling of 2564678393 in words is "two billion, five hundred sixty-four million, six hundred seventy-eight thousand, three hundred ninety-three".