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9648150625 = 5439292
BaseRepresentation
bin10001111110001001…
…10001100001100001
3220220101200211112001
420333010301201201
5124224411310000
64233213204001
7461042633011
oct107704614141
926811624461
109648150625
114101147403
121a53190601
13ba9b37589
14677533c41
153b705b46a
hex23f131861

9648150625 has 15 divisors (see below), whose sum is σ = 12059398351. Its totient is φ = 7716556000.

The previous prime is 9648150601. The next prime is 9648150637. The reversal of 9648150625 is 5260518469.

The square root of 9648150625 is 98225.

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

9648150625 is digitally balanced in base 3, 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 7 ways, for example, as 9547830369 + 100320256 = 97713^2 + 10016^2 .

It is not a de Polignac number, because 9648150625 - 27 = 9648150497 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2453661 + ... + 2457589.

Almost surely, 29648150625 is an apocalyptic number.

9648150625 is the 98225-th square number.

9648150625 is the 49113-rd centered octagonal number.

It is an amenable number.

9648150625 is a deficient number, since it is larger than the sum of its proper divisors (2411247726).

9648150625 is an frugal number, since it uses more digits than its factorization.

9648150625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7878 (or 3934 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 46.

The cubic root of 9648150625 is about 2128.8645248086.

The spelling of 9648150625 in words is "nine billion, six hundred forty-eight million, one hundred fifty thousand, six hundred twenty-five".

Divisors: 1 5 25 125 625 3929 19645 98225 491125 2455625 15437041 77185205 385926025 1929630125 9648150625