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58213572480 = 273457592719
BaseRepresentation
bin110110001101110011…
…001001111110000000
312120021000002212220000
4312031303021332000
51423210133304410
642424250520000
74130405126130
oct661563117600
9176230085800
1058213572480
1122763053688
12b347736000
13564960ca9b
142b63510ac0
1517aa9cadc0
hexd8dcc9f80

58213572480 has 640 divisors, whose sum is σ = 241705728000. Its totient is φ = 13075623936.

The previous prime is 58213572479. The next prime is 58213572523. The reversal of 58213572480 is 8427531285.

58213572480 is a `hidden beast` number, since 58 + 2 + 1 + 357 + 248 + 0 = 666.

58213572480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 21408561 + ... + 21411279.

It is an arithmetic number, because the mean of its divisors is an integer number (377665200).

Almost surely, 258213572480 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 58213572480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120852864000).

58213572480 is an abundant number, since it is smaller than the sum of its proper divisors (183492155520).

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

58213572480 is a wasteful number, since it uses less digits than its factorization.

58213572480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2816 (or 2795 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 58213572480 in words is "fifty-eight billion, two hundred thirteen million, five hundred seventy-two thousand, four hundred eighty".