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563341868928 = 2735234318313
BaseRepresentation
bin10000011001010011100…
…10101011111110000000
31222212002021010001100000
420030221302223332000
533212211004301203
61110443511200000
755462064610216
oct10145162537600
91885067101300
10563341868928
111a7a03887103
129121a076000
134117a0596a7
141d3a1870cb6
15e9c19594a3
hex8329cabf80

563341868928 has 384 divisors, whose sum is σ = 1795100186880. Its totient is φ = 175429545984.

The previous prime is 563341868927. The next prime is 563341868933. The reversal of 563341868928 is 829868143365.

It is a happy number.

563341868928 is a `hidden beast` number, since 563 + 3 + 4 + 1 + 8 + 68 + 9 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×5633418689282 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (563341868927) 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, 30752700 + ... + 30771012.

It is an arithmetic number, because the mean of its divisors is an integer number (4674740070).

Almost surely, 2563341868928 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 563341868928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (897550093440).

563341868928 is an abundant number, since it is smaller than the sum of its proper divisors (1231758317952).

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

563341868928 is a wasteful number, since it uses less digits than its factorization.

563341868928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18408 (or 18384 counting only the distinct ones).

The product of its digits is 59719680, while the sum is 63.

The spelling of 563341868928 in words is "five hundred sixty-three billion, three hundred forty-one million, eight hundred sixty-eight thousand, nine hundred twenty-eight".