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63689243904 = 283211131783137
BaseRepresentation
bin111011010100001011…
…001011110100000000
320002101121112210222100
4323110023023310000
52020413421301104
645131453310400
74413164432556
oct732413136400
9202347483870
1063689243904
1125012a10670
1210415495400
13600cb86050
143122833bd6
1519cb592139
hexed42cbd00

63689243904 has 864 divisors, whose sum is σ = 232865103744. Its totient is φ = 16444293120.

The previous prime is 63689243833. The next prime is 63689243923. The reversal of 63689243904 is 40934298636.

63689243904 is a `hidden beast` number, since 63 + 68 + 92 + 439 + 0 + 4 = 666.

It is a super-2 number, since 2×636892439042 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

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, 464884924 + ... + 464885060.

It is an arithmetic number, because the mean of its divisors is an integer number (269519796).

Almost surely, 263689243904 is an apocalyptic number.

63689243904 is a gapful number since it is divisible by the number (64) 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 63689243904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116432551872).

63689243904 is an abundant number, since it is smaller than the sum of its proper divisors (169175859840).

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

63689243904 is a wasteful number, since it uses less digits than its factorization.

63689243904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 63689243904 in words is "sixty-three billion, six hundred eighty-nine million, two hundred forty-three thousand, nine hundred four".