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58989627060 = 22357313792791
BaseRepresentation
bin110110111100000011…
…100100011010110100
312122021002101112122020
4312330003210122310
51431302321031220
643033252233140
74155550362000
oct667403443264
9178232345566
1058989627060
1123021119a01
12b52360b7b0
13574132a790
142bd8605700
151803bc3040
hexdbc0e46b4

58989627060 has 384 divisors, whose sum is σ = 210137088000. Its totient is φ = 12284213760.

The previous prime is 58989627049. The next prime is 58989627079. The reversal of 58989627060 is 6072698985.

It is a happy number.

58989627060 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 2×589896270602 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 58989626985 and 58989627003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21134265 + ... + 21137055.

It is an arithmetic number, because the mean of its divisors is an integer number (547232000).

Almost surely, 258989627060 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 58989627060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105068544000).

58989627060 is an abundant number, since it is smaller than the sum of its proper divisors (151147460940).

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

58989627060 is a wasteful number, since it uses less digits than its factorization.

58989627060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2916 (or 2900 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 60.

The spelling of 58989627060 in words is "fifty-eight billion, nine hundred eighty-nine million, six hundred twenty-seven thousand, sixty".