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58476567072 = 253721173113137
BaseRepresentation
bin110110011101011110…
…011001101000100000
312120221022222101122110
4312131132121220200
51424230000121242
642510323435320
74140050422200
oct663536315040
9176838871573
1058476567072
1122888552390
12b3bb825b40
13568bc520a1
142b8a410400
1517c3b2a39c
hexd9d799a20

58476567072 has 576 divisors, whose sum is σ = 200665309824. Its totient is φ = 14739701760.

The previous prime is 58476567059. The next prime is 58476567089. The reversal of 58476567072 is 27076567485.

58476567072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×584765670722 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 426836188 + ... + 426836324.

It is an arithmetic number, because the mean of its divisors is an integer number (348377274).

Almost surely, 258476567072 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 58476567072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100332654912).

58476567072 is an abundant number, since it is smaller than the sum of its proper divisors (142188742752).

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

58476567072 is a wasteful number, since it uses less digits than its factorization.

58476567072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 19756800, while the sum is 57.

The spelling of 58476567072 in words is "fifty-eight billion, four hundred seventy-six million, five hundred sixty-seven thousand, seventy-two".