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563106816 = 210353173
BaseRepresentation
bin100001100100000…
…101010000000000
31110020120210100000
4201210011100000
52123123404231
6131513200000
716645220556
oct4144052000
91406523300
10563106816
1126994a538
12138700000
138c87c1cc
1454b01bd6
15346816e6
hex21905400

563106816 has 264 divisors, whose sum is σ = 1764415744. Its totient is φ = 179159040.

The previous prime is 563106757. The next prime is 563106839. The reversal of 563106816 is 618601365.

It is a happy number.

563106816 is a `hidden beast` number, since 5 + 631 + 0 + 6 + 8 + 16 = 666.

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 pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7713756 + ... + 7713828.

Almost surely, 2563106816 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 563106816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (882207872).

563106816 is an abundant number, since it is smaller than the sum of its proper divisors (1201308928).

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

563106816 is an equidigital number, since it uses as much as digits as its factorization.

563106816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 563106816 is about 23729.8718074919. The cubic root of 563106816 is about 825.7785444030.

The spelling of 563106816 in words is "five hundred sixty-three million, one hundred six thousand, eight hundred sixteen".