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58879872000 = 2103653631
BaseRepresentation
bin110110110101100000…
…111000110000000000
312121222102212102000000
4312311200320300000
51431041221401000
643014332000000
74153045440255
oct666540706000
9177872772000
1058879872000
1122a75175344
12b4b2900000
13572467ca61
142bc7bd542c
1517e9243000
hexdb5838c00

58879872000 has 616 divisors, whose sum is σ = 220586881632. Its totient is φ = 15676416000.

The previous prime is 58879871969. The next prime is 58879872017. The reversal of 58879872000 is 27897885.

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

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 93311685 + ... + 93312315.

Almost surely, 258879872000 is an apocalyptic number.

58879872000 is a gapful number since it is divisible by the number (50) 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 58879872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110293440816).

58879872000 is an abundant number, since it is smaller than the sum of its proper divisors (161707009632).

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

58879872000 is an frugal number, since it uses more digits than its factorization.

58879872000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 54.

The spelling of 58879872000 in words is "fifty-eight billion, eight hundred seventy-nine million, eight hundred seventy-two thousand".