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12243889761617 is a prime number
BaseRepresentation
bin1011001000101100000010…
…1100110010110101010001
31121100111121201200200121102
42302023000230302311101
53101100441234332432
642012433150034145
72402410000540133
oct262130054626521
947314551620542
1012243889761617
1139a0671633568
121458b45aa8955
136aa7948c5cb7
14304870ac7053
151637595c8962
hexb22c0b32d51

12243889761617 has 2 divisors, whose sum is σ = 12243889761618. Its totient is φ = 12243889761616.

The previous prime is 12243889761557. The next prime is 12243889761643. The reversal of 12243889761617 is 71616798834221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11741100987841 + 502788773776 = 3426529^2 + 709076^2 .

It is an emirp because it is prime and its reverse (71616798834221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12243889761617 - 214 = 12243889745233 is a prime.

It is not a weakly prime, because it can be changed into another prime (12243889761017) 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, 6121944880808 + 6121944880809.

It is an arithmetic number, because the mean of its divisors is an integer number (6121944880809).

Almost surely, 212243889761617 is an apocalyptic number.

It is an amenable number.

12243889761617 is a deficient number, since it is larger than the sum of its proper divisors (1).

12243889761617 is an equidigital number, since it uses as much as digits as its factorization.

12243889761617 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 48771072, while the sum is 65.

The spelling of 12243889761617 in words is "twelve trillion, two hundred forty-three billion, eight hundred eighty-nine million, seven hundred sixty-one thousand, six hundred seventeen".