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58660816896 = 2113411173161
BaseRepresentation
bin110110101000011101…
…010000100000000000
312121102011200020220000
4312220131100200000
51430114132120041
642540504520000
74144445500533
oct665035204000
9177364606800
1058660816896
1122972557a70
12b451480000
1356bb183456
142ba6a92a1a
1517d4dc2bb6
hexda8750800

58660816896 has 960 divisors, whose sum is σ = 212341409280. Its totient is φ = 15925248000.

The previous prime is 58660816873. The next prime is 58660816901. The reversal of 58660816896 is 69861806685.

58660816896 is a `hidden beast` number, since 5 + 8 + 6 + 608 + 16 + 8 + 9 + 6 = 666.

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, 961652706 + ... + 961652766.

It is an arithmetic number, because the mean of its divisors is an integer number (221188968).

Almost surely, 258660816896 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 58660816896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106170704640).

58660816896 is an abundant number, since it is smaller than the sum of its proper divisors (153680592384).

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

58660816896 is a wasteful number, since it uses less digits than its factorization.

58660816896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The spelling of 58660816896 in words is "fifty-eight billion, six hundred sixty million, eight hundred sixteen thousand, eight hundred ninety-six".