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64114164 = 22325713119
BaseRepresentation
bin1111010010010…
…0110111110100
311110122100002200
43310210313310
5112403123124
610210104500
71405650522
oct364446764
9143570080
1064114164
1133210a14
121957b130
131038a79a
14872d312
155966bc9
hex3d24df4

64114164 has 36 divisors (see below), whose sum is σ = 162402240. Its totient is φ = 21327120.

The previous prime is 64114129. The next prime is 64114177. The reversal of 64114164 is 46141146.

64114164 is a `hidden beast` number, since 641 + 1 + 4 + 16 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×641141642 = 8221252050837792, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18997 + ... + 22115.

Almost surely, 264114164 is an apocalyptic number.

It is an amenable number.

64114164 is an abundant number, since it is smaller than the sum of its proper divisors (98288076).

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

64114164 is a wasteful number, since it uses less digits than its factorization.

64114164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3700 (or 3695 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 64114164 is about 8007.1320708478. The cubic root of 64114164 is about 400.2377003850.

The spelling of 64114164 in words is "sixty-four million, one hundred fourteen thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 571 1142 1713 2284 3119 3426 5139 6238 6852 9357 10278 12476 18714 20556 28071 37428 56142 112284 1780949 3561898 5342847 7123796 10685694 16028541 21371388 32057082 64114164