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64065636 = 22321779601
BaseRepresentation
bin1111010001100…
…1000001100100
311110112212112100
43310121001210
5112400100021
610205052100
71405356165
oct364310144
9143485470
1064065636
1133188508
1219557030
131037167b
14871976c
155957626
hex3d19064

64065636 has 18 divisors (see below), whose sum is σ = 161943782. Its totient is φ = 21355200.

The previous prime is 64065619. The next prime is 64065637. The reversal of 64065636 is 63656046.

64065636 is a `hidden beast` number, since 640 + 6 + 5 + 6 + 3 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 37748736 + 26316900 = 6144^2 + 5130^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 1779601 = 64065636 / (6 + 4 + 0 + 6 + 5 + 6 + 3 + 6).

It is a self number, because there is not a number n which added to its sum of digits gives 64065636.

It is not an unprimeable number, because it can be changed into a prime (64065637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 889765 + ... + 889836.

Almost surely, 264065636 is an apocalyptic number.

It is an amenable number.

64065636 is an abundant number, since it is smaller than the sum of its proper divisors (97878146).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

64065636 is a wasteful number, since it uses less digits than its factorization.

64065636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1779611 (or 1779606 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 64065636 is about 8004.1011987605. The cubic root of 64065636 is about 400.1366949476.

The spelling of 64065636 in words is "sixty-four million, sixty-five thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 1779601 3559202 5338803 7118404 10677606 16016409 21355212 32032818 64065636