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8835248016 = 2434723732
BaseRepresentation
bin10000011101001111…
…10010111110010000
3211210202002002210000
420032213302332100
5121043310414031
64020414010000
7431642240400
oct101647627620
924722062700
108835248016
1138242a3671
121866aa6900
13aaa5b790a
145db5aa800
1536a9d63e6
hex20e9f2f90

8835248016 has 225 divisors, whose sum is σ = 29826717921. Its totient is φ = 2517588864.

The previous prime is 8835247987. The next prime is 8835248027. The reversal of 8835248016 is 6108425388.

The square root of 8835248016 is 93996.

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

8835248016 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 only one way, i.e., 4802490000 + 4032758016 = 69300^2 + 63504^2 .

It is an unprimeable number.

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 44 ways as a sum of consecutive naturals, for example, 23686806 + ... + 23687178.

Almost surely, 28835248016 is an apocalyptic number.

8835248016 is the 93996-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8835248016

8835248016 is an abundant number, since it is smaller than the sum of its proper divisors (20991469905).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8835248016 is an equidigital number, since it uses as much as digits as its factorization.

8835248016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The cubic root of 8835248016 is about 2067.3130607029.

The spelling of 8835248016 in words is "eight billion, eight hundred thirty-five million, two hundred forty-eight thousand, sixteen".