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641316564 = 223272544907
BaseRepresentation
bin100110001110011…
…011011011010100
31122200202020221100
4212032123123110
52303134112224
6143345350100
721615046410
oct4616333324
91580666840
10641316564
112aa008699
1215a938330
13a2b33775
146125dd40
153b47eac9
hex2639b6d4

641316564 has 36 divisors (see below), whose sum is σ = 1852693024. Its totient is φ = 183233232.

The previous prime is 641316539. The next prime is 641316593. The reversal of 641316564 is 465613146.

It is a happy number.

641316564 is a `hidden beast` number, since 64 + 1 + 31 + 6 + 564 = 666.

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

It is a super-2 number, since 2×6413165642 = 822573870521532192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1272202 + ... + 1272705.

Almost surely, 2641316564 is an apocalyptic number.

It is an amenable number.

641316564 is an abundant number, since it is smaller than the sum of its proper divisors (1211376460).

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

641316564 is a wasteful number, since it uses less digits than its factorization.

641316564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2544924 (or 2544919 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 641316564 is about 25324.2287937856. The cubic root of 641316564 is about 862.3643985938.

The spelling of 641316564 in words is "six hundred forty-one million, three hundred sixteen thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 2544907 5089814 7634721 10179628 15269442 17814349 22904163 30538884 35628698 45808326 53443047 71257396 91616652 106886094 160329141 213772188 320658282 641316564