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563770116 = 22327131753191
BaseRepresentation
bin100001100110100…
…111001100000100
31110021211111012200
4201212213030010
52123311120431
6131535314500
716653652440
oct4146471404
91407744180
10563770116
1126a262918
1213897ba30
138ca520b0
1454c35820
1534762ee6
hex219a7304

563770116 has 288 divisors, whose sum is σ = 1902071808. Its totient is φ = 136581120.

The previous prime is 563770037. The next prime is 563770157. The reversal of 563770116 is 611077365.

563770116 is a `hidden beast` number, since 5 + 637 + 7 + 0 + 1 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2951581 + ... + 2951771.

It is an arithmetic number, because the mean of its divisors is an integer number (6604416).

Almost surely, 2563770116 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 563770116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (951035904).

563770116 is an abundant number, since it is smaller than the sum of its proper divisors (1338301692).

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

563770116 is a wasteful number, since it uses less digits than its factorization.

563770116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 563770116 is about 23743.8437494859. The cubic root of 563770116 is about 826.1026534161.

The spelling of 563770116 in words is "five hundred sixty-three million, seven hundred seventy thousand, one hundred sixteen".