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563301361056 = 253722922318517
BaseRepresentation
bin10000011001001110110…
…00001010010110100000
31222211222102220000222110
420030213120022112200
533212120122023211
61110435503035320
755461063365400
oct10144730122640
91884872800873
10563301361056
111a7992a29a25
129120859bb40
1341171845935
141d39a328800
15e9bd106ea6
hex832760a5a0

563301361056 has 288 divisors, whose sum is σ = 1787469949440. Its totient is φ = 154688292864.

The previous prime is 563301361039. The next prime is 563301361081. The reversal of 563301361056 is 650163103365.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30411510 + ... + 30430026.

It is an arithmetic number, because the mean of its divisors is an integer number (6206492880).

Almost surely, 2563301361056 is an apocalyptic number.

563301361056 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 563301361056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (893734974720).

563301361056 is an abundant number, since it is smaller than the sum of its proper divisors (1224168588384).

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

563301361056 is a wasteful number, since it uses less digits than its factorization.

563301361056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18796 (or 18781 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 39.

The spelling of 563301361056 in words is "five hundred sixty-three billion, three hundred one million, three hundred sixty-one thousand, fifty-six".