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63130914000 = 2435537211241
BaseRepresentation
bin111010110010111001…
…010100110011010000
320000221200221201100000
4322302321110303100
52013243003222000
645000230330000
74363304625600
oct726271246320
9200850851300
1063130914000
11248568340a0
121029a4b9900
135c512ba21b
1430ac616c00
151997556000
hexeb2e54cd0

63130914000 has 1440 divisors, whose sum is σ = 291379600512. Its totient is φ = 13063680000.

The previous prime is 63130913983. The next prime is 63130914079. The reversal of 63130914000 is 41903136.

63130914000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 261953880 + ... + 261954120.

Almost surely, 263130914000 is an apocalyptic number.

63130914000 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 63130914000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145689800256).

63130914000 is an abundant number, since it is smaller than the sum of its proper divisors (228248686512).

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

63130914000 is a wasteful number, since it uses less digits than its factorization.

63130914000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The spelling of 63130914000 in words is "sixty-three billion, one hundred thirty million, nine hundred fourteen thousand".