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58968833089 is a prime number
BaseRepresentation
bin110110111010110100…
…001111110001000001
312122012122021002200011
4312322310033301001
51431232010124324
643031230424521
74155205545115
oct667264176101
9178178232604
1058968833089
1123010407101
12b518662141
135739c29b5a
142bd5951745
151801e66c94
hexdbad0fc41

58968833089 has 2 divisors, whose sum is σ = 58968833090. Its totient is φ = 58968833088.

The previous prime is 58968833057. The next prime is 58968833093. The reversal of 58968833089 is 98033886985.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 56973870864 + 1994962225 = 238692^2 + 44665^2 .

It is a cyclic number.

It is not a de Polignac number, because 58968833089 - 25 = 58968833057 is a prime.

It is a super-3 number, since 3×589688330893 (a number of 33 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (58968833039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 29484416544 + 29484416545.

It is an arithmetic number, because the mean of its divisors is an integer number (29484416545).

Almost surely, 258968833089 is an apocalyptic number.

It is an amenable number.

58968833089 is a deficient number, since it is larger than the sum of its proper divisors (1).

58968833089 is an equidigital number, since it uses as much as digits as its factorization.

58968833089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 89579520, while the sum is 67.

The spelling of 58968833089 in words is "fifty-eight billion, nine hundred sixty-eight million, eight hundred thirty-three thousand, eighty-nine".