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63689038560 = 2533577272897
BaseRepresentation
bin111011010100001010…
…011001101011100000
320002101121011101022000
4323110022121223200
52020413343213220
645131445044000
74413162616110
oct732412315340
9202347141260
1063689038560
1125012890364
12104153b6600
13600cb13744
1431227bd040
1519cb551390
hexed4299ae0

63689038560 has 384 divisors, whose sum is σ = 255194634240. Its totient is φ = 14532452352.

The previous prime is 63689038507. The next prime is 63689038573. The reversal of 63689038560 is 6583098636.

63689038560 is a `hidden beast` number, since 63 + 68 + 90 + 385 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 63689038497 and 63689038506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21983032 + ... + 21985928.

It is an arithmetic number, because the mean of its divisors is an integer number (664569360).

Almost surely, 263689038560 is an apocalyptic number.

63689038560 is a gapful number since it is divisible by the number (60) 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 63689038560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127597317120).

63689038560 is an abundant number, since it is smaller than the sum of its proper divisors (191505595680).

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

63689038560 is a wasteful number, since it uses less digits than its factorization.

63689038560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3655 (or 3641 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 63689038560 in words is "sixty-three billion, six hundred eighty-nine million, thirty-eight thousand, five hundred sixty".