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563141670624 = 253413193723773
BaseRepresentation
bin10000011000111011101…
…10111111011011100000
31222211120022101220220000
420030131312333123200
533211303231424444
61110412000220000
755454114135541
oct10143566773340
91884508356800
10563141670624
111a7910879165
129118300a600
1341147733060
141d38303a4c8
15e9ae0b1469
hex831ddbf6e0

563141670624 has 480 divisors, whose sum is σ = 1928278709280. Its totient is φ = 159711326208.

The previous prime is 563141670541. The next prime is 563141670677. The reversal of 563141670624 is 426076141365.

563141670624 is a `hidden beast` number, since 5 + 6 + 3 + 1 + 4 + 16 + 7 + 0 + 624 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 563141670624.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 23676402 + ... + 23700174.

It is an arithmetic number, because the mean of its divisors is an integer number (4017247311).

Almost surely, 2563141670624 is an apocalyptic number.

563141670624 is a gapful number since it is divisible by the number (54) 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 563141670624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (964139354640).

563141670624 is an abundant number, since it is smaller than the sum of its proper divisors (1365137038656).

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

563141670624 is a wasteful number, since it uses less digits than its factorization.

563141670624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23864 (or 23847 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 563141670624 in words is "five hundred sixty-three billion, one hundred forty-one million, six hundred seventy thousand, six hundred twenty-four".