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5858682141312 = 2734711213193773
BaseRepresentation
bin101010101000001010010…
…1010101111101010000000
3202202002021122001111220000
41111100110222233222000
51231442040112010222
620243235202520000
71143163414351230
oct125202452575200
922662248044800
105858682141312
111959720373600
127a7550966000
1333661874c280
141637c1551cc0
15a25e76e99ac
hex55414aafa80

5858682141312 has 3840 divisors, whose sum is σ = 25848808339200. Its totient is φ = 1277045637120.

The previous prime is 5858682141311. The next prime is 5858682141353. The reversal of 5858682141312 is 2131412868585.

5858682141312 is a `hidden beast` number, since 5 + 8 + 58 + 68 + 214 + 1 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (5858682141311) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 80255919708 + ... + 80255919780.

It is an arithmetic number, because the mean of its divisors is an integer number (6731460505).

Almost surely, 25858682141312 is an apocalyptic number.

5858682141312 is a gapful number since it is divisible by the number (52) 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 5858682141312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12924404169600).

5858682141312 is an abundant number, since it is smaller than the sum of its proper divisors (19990126197888).

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

5858682141312 is a wasteful number, since it uses less digits than its factorization.

5858682141312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 165 counting only the distinct ones).

The product of its digits is 3686400, while the sum is 54.

The spelling of 5858682141312 in words is "five trillion, eight hundred fifty-eight billion, six hundred eighty-two million, one hundred forty-one thousand, three hundred twelve".