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563416893864 = 2332117913765729
BaseRepresentation
bin10000011001011100100…
…00111000100110101000
31222212021111021201012100
420030232100320212220
533212334211100424
61110455151213400
755463665402626
oct10145620704650
91885244251170
10563416893864
111a7a4216a490
129123b217260
134118c767446
141d3ab800516
15e9c8328dc9
hex832e4389a8

563416893864 has 192 divisors, whose sum is σ = 1698042528000. Its totient is φ = 167338229760.

The previous prime is 563416893863. The next prime is 563416893883. The reversal of 563416893864 is 468398614365.

563416893864 is a `hidden beast` number, since 5 + 63 + 416 + 89 + 3 + 86 + 4 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (563416893863) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8538952 + ... + 8604680.

It is an arithmetic number, because the mean of its divisors is an integer number (8843971500).

Almost surely, 2563416893864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 563416893864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849021264000).

563416893864 is an abundant number, since it is smaller than the sum of its proper divisors (1134625634136).

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

563416893864 is a wasteful number, since it uses less digits than its factorization.

563416893864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65968 (or 65961 counting only the distinct ones).

The product of its digits is 89579520, while the sum is 63.

The spelling of 563416893864 in words is "five hundred sixty-three billion, four hundred sixteen million, eight hundred ninety-three thousand, eight hundred sixty-four".