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116586090013 is a prime number
BaseRepresentation
bin110110010010100010…
…0101000111000011101
3102010221002022000101211
41230211010220320131
53402232014340023
6125320420304421
711265053262031
oct1544504507035
9363832260354
10116586090013
1145497899008
121a718542111
13acbcb310a3
1458ddb981c1
153075401a0d
hex1b25128e1d

116586090013 has 2 divisors, whose sum is σ = 116586090014. Its totient is φ = 116586090012.

The previous prime is 116586089999. The next prime is 116586090031. The reversal of 116586090013 is 310090685611.

Together with next prime (116586090031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 67069604484 + 49516485529 = 258978^2 + 222523^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-116586090013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (116586090053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 58293045006 + 58293045007.

It is an arithmetic number, because the mean of its divisors is an integer number (58293045007).

Almost surely, 2116586090013 is an apocalyptic number.

It is an amenable number.

116586090013 is a deficient number, since it is larger than the sum of its proper divisors (1).

116586090013 is an equidigital number, since it uses as much as digits as its factorization.

116586090013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 38880, while the sum is 40.

The spelling of 116586090013 in words is "one hundred sixteen billion, five hundred eighty-six million, ninety thousand, thirteen".