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563353212642264 = 233211231391671332283
BaseRepresentation
bin1000000000010111011110010…
…0000111110110001111011000
32201212200001010000010202220100
42000011313210013312033120
51042314434334414023024
65314052520524255400
7226442632531321602
oct20005674407661730
92655601100122810
10563353212642264
11153557834a48650
12532257630a1560
131b245c980b7635
149d18626078172
15451e19ace27c9
hex2005de41f63d8

563353212642264 has 384 divisors, whose sum is σ = 1759791553228800. Its totient is φ = 161145156775680.

The previous prime is 563353212642167. The next prime is 563353212642299. The reversal of 563353212642264 is 462246212353365.

563353212642264 is a `hidden beast` number, since 5 + 6 + 3 + 3 + 5 + 32 + 126 + 422 + 64 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 563353212642264.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 422181867 + ... + 423514149.

It is an arithmetic number, because the mean of its divisors is an integer number (4582790503200).

Almost surely, 2563353212642264 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 563353212642264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (879895776614400).

563353212642264 is an abundant number, since it is smaller than the sum of its proper divisors (1196438340586536).

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

563353212642264 is a wasteful number, since it uses less digits than its factorization.

563353212642264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1332635 (or 1332628 counting only the distinct ones).

The product of its digits is 37324800, while the sum is 54.

The spelling of 563353212642264 in words is "five hundred sixty-three trillion, three hundred fifty-three billion, two hundred twelve million, six hundred forty-two thousand, two hundred sixty-four".