Search a number
-
+
9029536001 is a prime number
BaseRepresentation
bin10000110100011001…
…11100100100000001
3212022021122221210022
420122030330210001
5121443030123001
64051554143225
7436521534563
oct103214744401
925267587708
109029536001
113913a35052
1218bbb81b15
13b0b922015
14619303333
1537cab311b
hex21a33c901

9029536001 has 2 divisors, whose sum is σ = 9029536002. Its totient is φ = 9029536000.

The previous prime is 9029535953. The next prime is 9029536013. The reversal of 9029536001 is 1006359209.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8944619776 + 84916225 = 94576^2 + 9215^2 .

It is an emirp because it is prime and its reverse (1006359209) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 9029536001 - 218 = 9029273857 is a prime.

It is not a weakly prime, because it can be changed into another prime (9029536051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4514768000 + 4514768001.

It is an arithmetic number, because the mean of its divisors is an integer number (4514768001).

Almost surely, 29029536001 is an apocalyptic number.

It is an amenable number.

9029536001 is a deficient number, since it is larger than the sum of its proper divisors (1).

9029536001 is an equidigital number, since it uses as much as digits as its factorization.

9029536001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14580, while the sum is 35.

The square root of 9029536001 is about 95023.8706904744. The cubic root of 9029536001 is about 2082.3567960972.

The spelling of 9029536001 in words is "nine billion, twenty-nine million, five hundred thirty-six thousand, one".