Search a number
-
+
147746647729 is a prime number
BaseRepresentation
bin1000100110011001100…
…0101110111010110001
3112010100201101100200001
42021212120232322301
54410041120211404
6151512431230001
713450204533052
oct2114630567261
9463321340601
10147746647729
115772814924a
1224774078301
1310c1778a915
1472183c6729
153c9ad747a4
hex226662eeb1

147746647729 has 2 divisors, whose sum is σ = 147746647730. Its totient is φ = 147746647728.

The previous prime is 147746647723. The next prime is 147746647757. The reversal of 147746647729 is 927746647741.

147746647729 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 139087973025 + 8658674704 = 372945^2 + 93052^2 .

It is a cyclic number.

It is not a de Polignac number, because 147746647729 - 227 = 147612430001 is a prime.

It is not a weakly prime, because it can be changed into another prime (147746647723) 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, 73873323864 + 73873323865.

It is an arithmetic number, because the mean of its divisors is an integer number (73873323865).

Almost surely, 2147746647729 is an apocalyptic number.

It is an amenable number.

147746647729 is a deficient number, since it is larger than the sum of its proper divisors (1).

147746647729 is an equidigital number, since it uses as much as digits as its factorization.

147746647729 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 99574272, while the sum is 64.

The spelling of 147746647729 in words is "one hundred forty-seven billion, seven hundred forty-six million, six hundred forty-seven thousand, seven hundred twenty-nine".