Search a number
-
+
164826746849 is a prime number
BaseRepresentation
bin1001100110000001110…
…0001000111111100001
3120202110001121021220202
42121200130020333201
510200031121344344
6203415333114545
714623363142312
oct2314034107741
9522401537822
10164826746849
11639a2446546
1227b40188a55
131270a24754b
147d98996609
15444a5be94e
hex2660708fe1

164826746849 has 2 divisors, whose sum is σ = 164826746850. Its totient is φ = 164826746848.

The previous prime is 164826746827. The next prime is 164826746897. The reversal of 164826746849 is 948647628461.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 164653350625 + 173396224 = 405775^2 + 13168^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-164826746849 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (164826746809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82413373424 + 82413373425.

It is an arithmetic number, because the mean of its divisors is an integer number (82413373425).

Almost surely, 2164826746849 is an apocalyptic number.

It is an amenable number.

164826746849 is a deficient number, since it is larger than the sum of its proper divisors (1).

164826746849 is an equidigital number, since it uses as much as digits as its factorization.

164826746849 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 111476736, while the sum is 65.

The spelling of 164826746849 in words is "one hundred sixty-four billion, eight hundred twenty-six million, seven hundred forty-six thousand, eight hundred forty-nine".