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64013367 = 31137103509
BaseRepresentation
bin1111010000110…
…0010000110111
311110110012211110
43310030100313
5112341411432
610204010103
71405050615
oct364142067
9143405743
1064013367
1133152210
1219530933
1310353942
1487046b5
155946dcc
hex3d0c437

64013367 has 32 divisors (see below), whose sum is σ = 96744960. Its totient is φ = 37307520.

The previous prime is 64013363. The next prime is 64013371. The reversal of 64013367 is 76331046.

64013367 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (64013363) and next prime (64013371).

It is not a de Polignac number, because 64013367 - 22 = 64013363 is a prime.

It is a super-2 number, since 2×640133672 = 8195422309353378, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64013363) 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 in 31 ways as a sum of consecutive naturals, for example, 125509 + ... + 126017.

It is an arithmetic number, because the mean of its divisors is an integer number (3023280).

Almost surely, 264013367 is an apocalyptic number.

64013367 is a deficient number, since it is larger than the sum of its proper divisors (32731593).

64013367 is a wasteful number, since it uses less digits than its factorization.

64013367 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663.

The product of its (nonzero) digits is 9072, while the sum is 30.

The square root of 64013367 is about 8000.8353938823. The cubic root of 64013367 is about 400.0278459781.

The spelling of 64013367 in words is "sixty-four million, thirteen thousand, three hundred sixty-seven".

Divisors: 1 3 11 33 37 103 111 309 407 509 1133 1221 1527 3399 3811 5599 11433 16797 18833 41921 52427 56499 125763 157281 207163 576697 621489 1730091 1939799 5819397 21337789 64013367