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12166760471653 is a prime number
BaseRepresentation
bin1011000100001100101101…
…1011111001110001100101
31121002010112110022210110101
42301003023123321301211
53043320011140043103
641513155501424101
72364006444435424
oct261031333716145
947063473283411
1012166760471653
113970992110417
121445bbb56b031
136a3422448198
14300c352db2bb
15161743160a1d
hexb10cb6f9c65

12166760471653 has 2 divisors, whose sum is σ = 12166760471654. Its totient is φ = 12166760471652.

The previous prime is 12166760471651. The next prime is 12166760471669. The reversal of 12166760471653 is 35617406766121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11343309488289 + 823450983364 = 3367983^2 + 907442^2 .

It is a cyclic number.

It is not a de Polignac number, because 12166760471653 - 21 = 12166760471651 is a prime.

Together with 12166760471651, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 12166760471594 and 12166760471603.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12166760471651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6083380235826 + 6083380235827.

It is an arithmetic number, because the mean of its divisors is an integer number (6083380235827).

Almost surely, 212166760471653 is an apocalyptic number.

It is an amenable number.

12166760471653 is a deficient number, since it is larger than the sum of its proper divisors (1).

12166760471653 is an equidigital number, since it uses as much as digits as its factorization.

12166760471653 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7620480, while the sum is 55.

The spelling of 12166760471653 in words is "twelve trillion, one hundred sixty-six billion, seven hundred sixty million, four hundred seventy-one thousand, six hundred fifty-three".