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58066466085 = 335430121971
BaseRepresentation
bin110110000101000001…
…111111010100100101
312112212202022002212000
4312011001333110211
51422410003403320
642401513515513
74123640550405
oct660501772445
9175782262760
1058066466085
1122698008451
12b306412b99
135624cb4c94
142b4bb7a805
15179cb1dc90
hexd8507f525

58066466085 has 16 divisors (see below), whose sum is σ = 103229273280. Its totient is φ = 30968781840.

The previous prime is 58066466077. The next prime is 58066466089.

It is a happy number.

58066466085 is nontrivially palindromic in base 10.

58066466085 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 58066466085 - 23 = 58066466077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58066466089) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 215060851 + ... + 215061120.

It is an arithmetic number, because the mean of its divisors is an integer number (6451829580).

Almost surely, 258066466085 is an apocalyptic number.

It is an amenable number.

58066466085 is a deficient number, since it is larger than the sum of its proper divisors (45162807195).

58066466085 is a wasteful number, since it uses less digits than its factorization.

58066466085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430121985 (or 430121979 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 58066466085 in words is "fifty-eight billion, sixty-six million, four hundred sixty-six thousand, eighty-five".

Divisors: 1 3 5 9 15 27 45 135 430121971 1290365913 2150609855 3871097739 6451829565 11613293217 19355488695 58066466085