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12173040648757 is a prime number
BaseRepresentation
bin1011000100100100000111…
…0000111000001000110101
31121002201202010120211212101
42301021001300320020311
53043420341401230012
641520115003422101
72364321203162602
oct261110160701065
947081663524771
1012173040648757
11397361510642a
121447272824931
136a3bb3591101
1430126d3dd6a9
151619ae68dd57
hexb1241c38235

12173040648757 has 2 divisors, whose sum is σ = 12173040648758. Its totient is φ = 12173040648756.

The previous prime is 12173040648731. The next prime is 12173040648827. The reversal of 12173040648757 is 75784604037121.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12115126301041 + 57914347716 = 3480679^2 + 240654^2 .

It is a cyclic number.

It is not a de Polignac number, because 12173040648757 - 227 = 12172906431029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12173040648698 and 12173040648707.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12173040645757) 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, 6086520324378 + 6086520324379.

It is an arithmetic number, because the mean of its divisors is an integer number (6086520324379).

Almost surely, 212173040648757 is an apocalyptic number.

It is an amenable number.

12173040648757 is a deficient number, since it is larger than the sum of its proper divisors (1).

12173040648757 is an equidigital number, since it uses as much as digits as its factorization.

12173040648757 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7902720, while the sum is 55.

The spelling of 12173040648757 in words is "twelve trillion, one hundred seventy-three billion, forty million, six hundred forty-eight thousand, seven hundred fifty-seven".