Search a number
-
+
12406246146457 is a prime number
BaseRepresentation
bin1011010010001000110111…
…1001010000000110011001
31121221000200121212120220221
42310202031321100012121
53111230443003141312
642215203434520041
72420215226204032
oct264421571200631
947830617776827
1012406246146457
113a53506579509
1214844b6896021
136bcb9a0ba377
1430c673545a89
15167aacd74207
hexb488de50199

12406246146457 has 2 divisors, whose sum is σ = 12406246146458. Its totient is φ = 12406246146456.

The previous prime is 12406246146451. The next prime is 12406246146517. The reversal of 12406246146457 is 75464164260421.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11133273262336 + 1272972884121 = 3336656^2 + 1128261^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12406246146457 is a prime.

It is not a weakly prime, because it can be changed into another prime (12406246146451) 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, 6203123073228 + 6203123073229.

It is an arithmetic number, because the mean of its divisors is an integer number (6203123073229).

Almost surely, 212406246146457 is an apocalyptic number.

It is an amenable number.

12406246146457 is a deficient number, since it is larger than the sum of its proper divisors (1).

12406246146457 is an equidigital number, since it uses as much as digits as its factorization.

12406246146457 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7741440, while the sum is 52.

The spelling of 12406246146457 in words is "twelve trillion, four hundred six billion, two hundred forty-six million, one hundred forty-six thousand, four hundred fifty-seven".