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58399062480 = 243551133761
BaseRepresentation
bin110110011000110110…
…101111100111010000
312120201221010202100000
4312120312233213100
51424100124444410
642454514330000
74135116561243
oct663066574720
9176657122300
1058399062480
1122848826000
12b399889900
135678b86795
142b7ddd725a
1517bbe1adc0
hexd98daf9d0

58399062480 has 960 divisors, whose sum is σ = 233523553536. Its totient is φ = 13548902400.

The previous prime is 58399062383. The next prime is 58399062487. The reversal of 58399062480 is 8426099385.

58399062480 is a `hidden beast` number, since 5 + 8 + 3 + 9 + 9 + 0 + 624 + 8 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58399062487) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 957361650 + ... + 957361710.

Almost surely, 258399062480 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 58399062480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116761776768).

58399062480 is an abundant number, since it is smaller than the sum of its proper divisors (175124491056).

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

58399062480 is a wasteful number, since it uses less digits than its factorization.

58399062480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 58399062480 in words is "fifty-eight billion, three hundred ninety-nine million, sixty-two thousand, four hundred eighty".