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9964232041 = 17325772
BaseRepresentation
bin10010100011110101…
…00001110101101001
3221201102110102201011
421101322201311221
5130401320411131
64324424023521
7501631401121
oct112172416551
927642412634
109964232041
114253605015
121b21001ba1
13c2a475cba
146a74d1c81
153d4b950b1
hex251ea1d69

9964232041 has 9 divisors (see below), whose sum is σ = 10039561221. Its totient is φ = 9889466112.

The previous prime is 9964232029. The next prime is 9964232081. The reversal of 9964232041 is 1402324699.

The square root of 9964232041 is 99821.

It is a perfect power (a square), and thus also a powerful number.

9964232041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 8533879641 + 1430352400 = 92379^2 + 37820^2 .

It is not a de Polignac number, because 9964232041 - 229 = 9427361129 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 9964231985 and 9964232003.

It is not an unprimeable number, because it can be changed into a prime (9964232081) 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 in 8 ways as a sum of consecutive naturals, for example, 17268745 + ... + 17269321.

Almost surely, 29964232041 is an apocalyptic number.

9964232041 is the 99821-st square number.

9964232041 is the 49911-st centered octagonal number.

It is an amenable number.

9964232041 is a deficient number, since it is larger than the sum of its proper divisors (75329180).

9964232041 is an frugal number, since it uses more digits than its factorization.

9964232041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1500 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 40.

The cubic root of 9964232041 is about 2151.8629636883.

The spelling of 9964232041 in words is "nine billion, nine hundred sixty-four million, two hundred thirty-two thousand, forty-one".

Divisors: 1 173 577 29929 99821 332929 17269033 57596717 9964232041