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63900139680 = 25335134347563
BaseRepresentation
bin111011100000101111…
…101100000010100000
320002221022101102121000
4323200233230002200
52021331413432210
645204425432000
74421335140216
oct734057540240
9202838342530
1063900139680
1125110a657a3
121047403b600
136044786850
143142850cb6
1519ded4eac0
hexee0bec0a0

63900139680 has 768 divisors, whose sum is σ = 252146442240. Its totient is φ = 15009878016.

The previous prime is 63900139673. The next prime is 63900139687. The reversal of 63900139680 is 8693100936.

63900139680 is a `hidden beast` number, since 639 + 0 + 0 + 1 + 3 + 9 + 6 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (63900139673) and next prime (63900139687).

It is a super-2 number, since 2×639001396802 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (63900139687) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 113499079 + ... + 113499641.

It is an arithmetic number, because the mean of its divisors is an integer number (328315680).

Almost surely, 263900139680 is an apocalyptic number.

63900139680 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 63900139680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126073221120).

63900139680 is an abundant number, since it is smaller than the sum of its proper divisors (188246302560).

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

63900139680 is a wasteful number, since it uses less digits than its factorization.

63900139680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 63900139680 in words is "sixty-three billion, nine hundred million, one hundred thirty-nine thousand, six hundred eighty".