Search a number
-
+
46823245506673 is a prime number
BaseRepresentation
bin10101010010101111000101…
…11010100110100001110001
320010210020222111010101121221
422221113202322212201301
522114123001322203143
6243330145123345041
712601603446645346
oct1251274272464161
9203706874111557
1046823245506673
1113a12699455459
1253027aa222181
13201854a7914ac
14b7c3859887cd
15562ea7aee2ed
hex2a95e2ea6871

46823245506673 has 2 divisors, whose sum is σ = 46823245506674. Its totient is φ = 46823245506672.

The previous prime is 46823245506629. The next prime is 46823245506701. The reversal of 46823245506673 is 37660554232864.

It is a happy number.

46823245506673 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., 41917764718449 + 4905480788224 = 6474393^2 + 2214832^2 .

It is a cyclic number.

It is not a de Polignac number, because 46823245506673 - 29 = 46823245506161 is a prime.

It is not a weakly prime, because it can be changed into another prime (46823245509673) 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, 23411622753336 + 23411622753337.

It is an arithmetic number, because the mean of its divisors is an integer number (23411622753337).

Almost surely, 246823245506673 is an apocalyptic number.

It is an amenable number.

46823245506673 is a deficient number, since it is larger than the sum of its proper divisors (1).

46823245506673 is an equidigital number, since it uses as much as digits as its factorization.

46823245506673 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 174182400, while the sum is 61.

The spelling of 46823245506673 in words is "forty-six trillion, eight hundred twenty-three billion, two hundred forty-five million, five hundred six thousand, six hundred seventy-three".