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563121934848 = 29321129971013
BaseRepresentation
bin10000011000111001010…
…11101101001000000000
31222211111221021020111100
420030130223231020000
533211233203403343
61110410013214400
755453454320044
oct10143453551000
91884457236440
10563121934848
111a7900719400
1291178491400
1341143612c95
141d380580024
15e9ac4b39d3
hex831caed200

563121934848 has 360 divisors, whose sum is σ = 1789942678524. Its totient is φ = 170303569920.

The previous prime is 563121934829. The next prime is 563121934909. The reversal of 563121934848 is 848439121365.

It is a happy number.

563121934848 is a `hidden beast` number, since 5 + 63 + 12 + 1 + 93 + 484 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 547197513984 + 15924420864 = 739728^2 + 126192^2 .

It is a junction number, because it is equal to n+sod(n) for n = 563121934794 and 563121934803.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 555894790 + ... + 555895802.

Almost surely, 2563121934848 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 563121934848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (894971339262).

563121934848 is an abundant number, since it is smaller than the sum of its proper divisors (1226820743676).

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

563121934848 is a wasteful number, since it uses less digits than its factorization.

563121934848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2056 (or 2026 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The spelling of 563121934848 in words is "five hundred sixty-three billion, one hundred twenty-one million, nine hundred thirty-four thousand, eight hundred forty-eight".