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63130860000 = 2533541317232
BaseRepresentation
bin111010110010111001…
…000111100111100000
320000221200211222021000
4322302321013213200
52013243000010000
645000225232000
74363304312265
oct726271074740
9200850758230
1063130860000
11248567a756a
121029a492600
135c5129b780
1430ac60126c
151997545000
hexeb2e479e0

63130860000 has 1440 divisors, whose sum is σ = 274269330720. Its totient is φ = 13989888000.

The previous prime is 63130859971. The next prime is 63130860071. The reversal of 63130860000 is 6803136.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2744819989 + ... + 2744820011.

It is an arithmetic number, because the mean of its divisors is an integer number (190464813).

Almost surely, 263130860000 is an apocalyptic number.

63130860000 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 63130860000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137134665360).

63130860000 is an abundant number, since it is smaller than the sum of its proper divisors (211138470720).

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

63130860000 is a wasteful number, since it uses less digits than its factorization.

63130860000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 63130860000 in words is "sixty-three billion, one hundred thirty million, eight hundred sixty thousand".