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58578090000 = 2435417114859
BaseRepresentation
bin110110100011100001…
…101011100000010000
312121012102000021220220
4312203201223200100
51424431442340000
642524351433040
74142422356333
oct664341534020
9177172007826
1058578090000
112292a894031
12b429825780
1356a6ca9b21
142b99aba61a
1517cc9d11a0
hexda386b810

58578090000 has 200 divisors, whose sum is σ = 200223033120. Its totient is φ = 14701824000.

The previous prime is 58578089987. The next prime is 58578090019. The reversal of 58578090000 is 9087585.

It is a tau number, because it is divible by the number of its divisors (200).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 452571 + ... + 567429.

Almost surely, 258578090000 is an apocalyptic number.

58578090000 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 58578090000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100111516560).

58578090000 is an abundant number, since it is smaller than the sum of its proper divisors (141644943120).

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

58578090000 is a wasteful number, since it uses less digits than its factorization.

58578090000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114907 (or 114886 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 42.

The spelling of 58578090000 in words is "fifty-eight billion, five hundred seventy-eight million, ninety thousand".