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2564460929 is a prime number
BaseRepresentation
bin1001100011011010…
…1001000110000001
320121201111010001102
42120312221012001
520223000222204
61102245144145
7120356362322
oct23066510601
96551433042
102564460929
1110a66314a8
125b69bb055
1331b3aba04
141a4830449
1510021041e
hex98da9181

2564460929 has 2 divisors, whose sum is σ = 2564460930. Its totient is φ = 2564460928.

The previous prime is 2564460919. The next prime is 2564460959. The reversal of 2564460929 is 9290644652.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1513210000 + 1051250929 = 38900^2 + 32423^2 .

It is a cyclic number.

It is not a de Polignac number, because 2564460929 - 224 = 2547683713 is a prime.

It is not a weakly prime, because it can be changed into another prime (2564460919) 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, 1282230464 + 1282230465.

It is an arithmetic number, because the mean of its divisors is an integer number (1282230465).

Almost surely, 22564460929 is an apocalyptic number.

It is an amenable number.

2564460929 is a deficient number, since it is larger than the sum of its proper divisors (1).

2564460929 is an equidigital number, since it uses as much as digits as its factorization.

2564460929 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 933120, while the sum is 47.

The square root of 2564460929 is about 50640.5068003866. The cubic root of 2564460929 is about 1368.7748880499.

The spelling of 2564460929 in words is "two billion, five hundred sixty-four million, four hundred sixty thousand, nine hundred twenty-nine".