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11617606225 = 52215572
BaseRepresentation
bin10101101000111011…
…01001101001010001
31002222122120112201001
422310131221221101
5142243101344400
65200445342001
7560616011041
oct126435515121
932878515631
1011617606225
114a21921565
122302867901
131131b78c14
147c2d1b721
1547edd8a6a
hex2b4769a51

11617606225 has 9 divisors (see below), whose sum is σ = 14406500017. Its totient is φ = 9293653840.

The previous prime is 11617606211. The next prime is 11617606229. The reversal of 11617606225 is 52260671611.

It is a happy number.

The square root of 11617606225 is 107785.

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

11617606225 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 3791726929 + 7825879296 = 61577^2 + 88464^2 .

It is not a de Polignac number, because 11617606225 - 223 = 11609217617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11617606229) 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, 528147 + ... + 549703.

Almost surely, 211617606225 is an apocalyptic number.

11617606225 is the 107785-th square number.

11617606225 is the 53893-rd centered octagonal number.

It is an amenable number.

11617606225 is a deficient number, since it is larger than the sum of its proper divisors (2788893792).

11617606225 is an frugal number, since it uses more digits than its factorization.

11617606225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43124 (or 21562 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The spelling of 11617606225 in words is "eleven billion, six hundred seventeen million, six hundred six thousand, two hundred twenty-five".

Divisors: 1 5 25 21557 107785 538925 464704249 2323521245 11617606225