Search a number
-
+
12768419524501 is a prime number
BaseRepresentation
bin1011100111001110000100…
…0111000010111110010101
31200012122112002222110121101
42321303201013002332111
53133144210344241001
643053421515150101
72455326224134264
oct271634107027625
950178462873541
1012768419524501
114083068a49973
121522731a45331
13718097a16264
14321dcda485db
15172208994a01
hexb9ce11c2f95

12768419524501 has 2 divisors, whose sum is σ = 12768419524502. Its totient is φ = 12768419524500.

The previous prime is 12768419524493. The next prime is 12768419524543. The reversal of 12768419524501 is 10542591486721.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7696019188900 + 5072400335601 = 2774170^2 + 2252199^2 .

It is a cyclic number.

It is not a de Polignac number, because 12768419524501 - 23 = 12768419524493 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12768419524801) 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, 6384209762250 + 6384209762251.

It is an arithmetic number, because the mean of its divisors is an integer number (6384209762251).

Almost surely, 212768419524501 is an apocalyptic number.

It is an amenable number.

12768419524501 is a deficient number, since it is larger than the sum of its proper divisors (1).

12768419524501 is an equidigital number, since it uses as much as digits as its factorization.

12768419524501 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4838400, while the sum is 55.

The spelling of 12768419524501 in words is "twelve trillion, seven hundred sixty-eight billion, four hundred nineteen million, five hundred twenty-four thousand, five hundred one".