Search a number
-
+
12916376288833 is a prime number
BaseRepresentation
bin1011101111110101010000…
…0001010011111001000001
31200201210102110201212001211
42323331110001103321001
53143110214312220313
643245411254130121
72502114562651243
oct273752401237101
950653373655054
1012916376288833
11412a89375a8a6
121547344350941
13729016b90b14
14329227cc8093
15175eb7ec0e3d
hexbbf54053e41

12916376288833 has 2 divisors, whose sum is σ = 12916376288834. Its totient is φ = 12916376288832.

The previous prime is 12916376288771. The next prime is 12916376288869. The reversal of 12916376288833 is 33888267361921.

12916376288833 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11970721176129 + 945655112704 = 3459873^2 + 972448^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12916376288833 is a prime.

It is not a weakly prime, because it can be changed into another prime (12916376588833) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6458188144416 + 6458188144417.

It is an arithmetic number, because the mean of its divisors is an integer number (6458188144417).

Almost surely, 212916376288833 is an apocalyptic number.

It is an amenable number.

12916376288833 is a deficient number, since it is larger than the sum of its proper divisors (1).

12916376288833 is an equidigital number, since it uses as much as digits as its factorization.

12916376288833 is an evil number, because the sum of its binary digits is even.

The product of its digits is 125411328, while the sum is 67.

The spelling of 12916376288833 in words is "twelve trillion, nine hundred sixteen billion, three hundred seventy-six million, two hundred eighty-eight thousand, eight hundred thirty-three".