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12683464191089 is a prime number
BaseRepresentation
bin1011100010010001100101…
…1000001010110001110001
31122220112020102112101002022
42320210121120022301301
53130301213313103324
642550411503401225
72446231031540426
oct270443130126161
948815212471068
1012683464191089
11405003297351a
12150a1825b3215
137100790914c3
1431bc50b17d4d
1516edd544405e
hexb891960ac71

12683464191089 has 2 divisors, whose sum is σ = 12683464191090. Its totient is φ = 12683464191088.

The previous prime is 12683464191037. The next prime is 12683464191103. The reversal of 12683464191089 is 98019146438621.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12682715238400 + 748952689 = 3561280^2 + 27367^2 .

It is a cyclic number.

It is not a de Polignac number, because 12683464191089 - 28 = 12683464190833 is a prime.

It is a super-2 number, since 2×126834641910892 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12683464196089) 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, 6341732095544 + 6341732095545.

It is an arithmetic number, because the mean of its divisors is an integer number (6341732095545).

Almost surely, 212683464191089 is an apocalyptic number.

It is an amenable number.

12683464191089 is a deficient number, since it is larger than the sum of its proper divisors (1).

12683464191089 is an equidigital number, since it uses as much as digits as its factorization.

12683464191089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17915904, while the sum is 62.

The spelling of 12683464191089 in words is "twelve trillion, six hundred eighty-three billion, four hundred sixty-four million, one hundred ninety-one thousand, eighty-nine".