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58375317000 = 233537211132777
BaseRepresentation
bin110110010111011100…
…001010011000001000
312120200021110100122210
4312113130022120020
51424023040121000
642452305345120
74134411002400
oct662734123010
9176607410583
1058375317000
1122836387740
12b3919381a0
135673c915c0
142b7abb5800
1517b9cca350
hexd9770a608

58375317000 has 768 divisors, whose sum is σ = 248995918080. Its totient is φ = 11192832000.

The previous prime is 58375316983. The next prime is 58375317001. The reversal of 58375317000 is 71357385.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 58375317000.

It is not an unprimeable number, because it can be changed into a prime (58375317001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 21019612 + ... + 21022388.

It is an arithmetic number, because the mean of its divisors is an integer number (324213435).

Almost surely, 258375317000 is an apocalyptic number.

58375317000 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 58375317000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124497959040).

58375317000 is an abundant number, since it is smaller than the sum of its proper divisors (190620601080).

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

58375317000 is a wasteful number, since it uses less digits than its factorization.

58375317000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2839 (or 2818 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 39.

The spelling of 58375317000 in words is "fifty-eight billion, three hundred seventy-five million, three hundred seventeen thousand".