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563116680 = 233257192619
BaseRepresentation
bin100001100100000…
…111101010001000
31110020121021212100
4201210013222020
52123124213210
6131513313400
716645261410
oct4144075210
91406537770
10563116680
11269956995
12138705860
138c883849
1454b05640
15346845c0
hex21907a88

563116680 has 288 divisors, whose sum is σ = 2211019200. Its totient is φ = 121741056.

The previous prime is 563116669. The next prime is 563116733. The reversal of 563116680 is 86611365.

It is a happy number.

563116680 is a `hidden beast` number, since 5 + 631 + 16 + 6 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 909411 + ... + 910029.

It is an arithmetic number, because the mean of its divisors is an integer number (7677150).

Almost surely, 2563116680 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 563116680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1105509600).

563116680 is an abundant number, since it is smaller than the sum of its proper divisors (1647902520).

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

563116680 is a wasteful number, since it uses less digits than its factorization.

563116680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681 (or 655 counting only the distinct ones).

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

The square root of 563116680 is about 23730.0796458840. The cubic root of 563116680 is about 825.7833661241.

The spelling of 563116680 in words is "five hundred sixty-three million, one hundred sixteen thousand, six hundred eighty".