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58380311808 = 2832713221419
BaseRepresentation
bin110110010111101111…
…001101110100000000
312120200121212010020200
4312113233031310000
51424030324434213
642453004405200
74134501314460
oct662757156400
9176617763220
1058380311808
1122839189385
12b393546800
13567501cc00
142b7b715ba0
1517ba465273
hexd97bcdd00

58380311808 has 324 divisors, whose sum is σ = 208317039840. Its totient is φ = 15396286464.

The previous prime is 58380311807. The next prime is 58380311839. The reversal of 58380311808 is 80811308385.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58380311807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2714923 + ... + 2736341.

Almost surely, 258380311808 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 58380311808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104158519920).

58380311808 is an abundant number, since it is smaller than the sum of its proper divisors (149936728032).

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

58380311808 is a wasteful number, since it uses less digits than its factorization.

58380311808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21474 (or 21444 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 58380311808 in words is "fifty-eight billion, three hundred eighty million, three hundred eleven thousand, eight hundred eight".