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12959620417 is a prime number
BaseRepresentation
bin11000001000111010…
…00001110101000001
31020110011210221002101
430010131001311001
5203020130323132
65541545350401
7636102645622
oct140435016501
936404727071
1012959620417
1155504056a7
122618198401
1312b6c04463
148ad257a49
1550cb277e7
hex304741d41

12959620417 has 2 divisors, whose sum is σ = 12959620418. Its totient is φ = 12959620416.

The previous prime is 12959620409. The next prime is 12959620469. The reversal of 12959620417 is 71402695921.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12931328656 + 28291761 = 113716^2 + 5319^2 .

It is an emirp because it is prime and its reverse (71402695921) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12959620417 - 23 = 12959620409 is a prime.

It is a super-2 number, since 2×129596204172 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12959620477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6479810208 + 6479810209.

It is an arithmetic number, because the mean of its divisors is an integer number (6479810209).

Almost surely, 212959620417 is an apocalyptic number.

It is an amenable number.

12959620417 is a deficient number, since it is larger than the sum of its proper divisors (1).

12959620417 is an equidigital number, since it uses as much as digits as its factorization.

12959620417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 272160, while the sum is 46.

The spelling of 12959620417 in words is "twelve billion, nine hundred fifty-nine million, six hundred twenty thousand, four hundred seventeen".