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64148017 is a prime number
BaseRepresentation
bin1111010010110…
…1001000110001
311110201001112111
43310231020301
5112410214032
610210525321
71406151313
oct364551061
9143631474
1064148017
113323439a
1219596841
13103a000b
14873b7b3
155971c47
hex3d2d231

64148017 has 2 divisors, whose sum is σ = 64148018. Its totient is φ = 64148016.

The previous prime is 64147991. The next prime is 64148023. The reversal of 64148017 is 71084146.

64148017 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 63616576 + 531441 = 7976^2 + 729^2 .

It is a cyclic number.

It is not a de Polignac number, because 64148017 - 223 = 55759409 is a prime.

It is a super-2 number, since 2×641480172 = 8229936170064578, which contains 22 as substring.

It is equal to p3793342 and since 64148017 and 3793342 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 64148017.

It is not a weakly prime, because it can be changed into another prime (64143017) 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, 32074008 + 32074009.

It is an arithmetic number, because the mean of its divisors is an integer number (32074009).

Almost surely, 264148017 is an apocalyptic number.

It is an amenable number.

64148017 is a deficient number, since it is larger than the sum of its proper divisors (1).

64148017 is an equidigital number, since it uses as much as digits as its factorization.

64148017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5376, while the sum is 31.

The square root of 64148017 is about 8009.2457197916. The cubic root of 64148017 is about 400.3081313268.

The spelling of 64148017 in words is "sixty-four million, one hundred forty-eight thousand, seventeen".