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643365864 = 23328935637
BaseRepresentation
bin100110010110001…
…111101111101000
31122211121101001100
4212112033233220
52304200201424
6143501321400
721641343141
oct4626175750
91584541040
10643365864
11300188329
1215b566260
13a33a047b
1461634ac8
153b736dc9
hex2658fbe8

643365864 has 24 divisors (see below), whose sum is σ = 1742449410. Its totient is φ = 214455264.

The previous prime is 643365787. The next prime is 643365881. The reversal of 643365864 is 468563346.

643365864 is a `hidden beast` number, since 64 + 3 + 3 + 6 + 586 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 504361764 + 139004100 = 22458^2 + 11790^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4467747 + ... + 4467890.

Almost surely, 2643365864 is an apocalyptic number.

It is an amenable number.

643365864 is an abundant number, since it is smaller than the sum of its proper divisors (1099083546).

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

643365864 is a wasteful number, since it uses less digits than its factorization.

643365864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8935649 (or 8935642 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 45.

The square root of 643365864 is about 25364.6577741550. The cubic root of 643365864 is about 863.2819716052.

The spelling of 643365864 in words is "six hundred forty-three million, three hundred sixty-five thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 8935637 17871274 26806911 35742548 53613822 71485096 80420733 107227644 160841466 214455288 321682932 643365864