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563114016 = 25323116287
BaseRepresentation
bin100001100100000…
…111000000100000
31110020121011012200
4201210013000200
52123124122031
6131513253200
716645250553
oct4144070040
91406534180
10563114016
11269954993
12138704200
138c88257a
1454b0469a
15346838e6
hex21907020

563114016 has 72 divisors (see below), whose sum is σ = 1606760064. Its totient is φ = 187071360.

The previous prime is 563114011. The next prime is 563114021. The reversal of 563114016 is 610411365.

563114016 is a `hidden beast` number, since 5 + 631 + 14 + 0 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (563114011) and next prime (563114021).

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (563114011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 86425 + ... + 92711.

It is an arithmetic number, because the mean of its divisors is an integer number (22316112).

Almost surely, 2563114016 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 563114016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803380032).

563114016 is an abundant number, since it is smaller than the sum of its proper divisors (1043646048).

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

563114016 is a wasteful number, since it uses less digits than its factorization.

563114016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6614 (or 6603 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 563114016 is about 23730.0235145269. The cubic root of 563114016 is about 825.7820639130.

The spelling of 563114016 in words is "five hundred sixty-three million, one hundred fourteen thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 311 622 933 1244 1866 2488 2799 3732 4976 5598 6287 7464 9952 11196 12574 14928 18861 22392 25148 29856 37722 44784 50296 56583 75444 89568 100592 113166 150888 201184 226332 301776 452664 603552 905328 1810656 1955257 3910514 5865771 7821028 11731542 15642056 17597313 23463084 31284112 35194626 46926168 62568224 70389252 93852336 140778504 187704672 281557008 563114016