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58193358080 = 28511131929577
BaseRepresentation
bin110110001100100110…
…000010110100000000
312120012121001212221112
4312030212002310000
51423134444424310
642422245342452
74130041245044
oct661446026400
9176177055845
1058193358080
11227526a7270
12b340a07a28
135645382bc0
142b6096c024
1517a8d36705
hexd8c982d00

58193358080 has 576 divisors, whose sum is σ = 178632518400. Its totient is φ = 17836277760.

The previous prime is 58193358079. The next prime is 58193358103. The reversal of 58193358080 is 8085339185.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 100854752 + ... + 100855328.

It is an arithmetic number, because the mean of its divisors is an integer number (310125900).

Almost surely, 258193358080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58193358080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89316259200).

58193358080 is an abundant number, since it is smaller than the sum of its proper divisors (120439160320).

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

58193358080 is a wasteful number, since it uses less digits than its factorization.

58193358080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 50.

The spelling of 58193358080 in words is "fifty-eight billion, one hundred ninety-three million, three hundred fifty-eight thousand, eighty".