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58493933568 = 21136729193
BaseRepresentation
bin110110011110100000…
…101001100000000000
312120222112122201000000
4312132200221200000
51424243421333233
642512144000000
74140351142320
oct663640514000
9176875581000
1058493933568
1122897334064
12b405600000
135692722915
142b8c851280
1517c540ad13
hexd9e829800

58493933568 has 672 divisors, whose sum is σ = 208394877600. Its totient is φ = 16052649984.

The previous prime is 58493933527. The next prime is 58493933593. The reversal of 58493933568 is 86533939485.

58493933568 is a `hidden beast` number, since 5 + 8 + 4 + 9 + 39 + 33 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 55 ways as a sum of consecutive naturals, for example, 303077280 + ... + 303077472.

It is an arithmetic number, because the mean of its divisors is an integer number (310111425).

Almost surely, 258493933568 is an apocalyptic number.

58493933568 is a gapful number since it is divisible by the number (58) 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 58493933568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104197438800).

58493933568 is an abundant number, since it is smaller than the sum of its proper divisors (149900944032).

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

58493933568 is an equidigital number, since it uses as much as digits as its factorization.

58493933568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 234 counting only the distinct ones).

The product of its digits is 83980800, while the sum is 63.

The spelling of 58493933568 in words is "fifty-eight billion, four hundred ninety-three million, nine hundred thirty-three thousand, five hundred sixty-eight".