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11266336449 = 32353812
BaseRepresentation
bin10100111111000011…
…01010011011000001
31002002011121012011100
422133201222123001
5141033140231244
65101540405013
7546122164644
oct123741523301
932064535140
1011266336449
11486160a365
1222250a6769
1310a7169a94
1478c3dda5b
1545e14db69
hex29f86a6c1

11266336449 has 9 divisors (see below), whose sum is σ = 16274057059. Its totient is φ = 7510678680.

The previous prime is 11266336447. The next prime is 11266336453. The reversal of 11266336449 is 94463366211.

The square root of 11266336449 is 106143.

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

11266336449 is a `hidden beast` number, since 1 + 1 + 2 + 6 + 633 + 6 + 4 + 4 + 9 = 666.

11266336449 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., 9842028849 + 1424307600 = 99207^2 + 37740^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 11266336449 - 21 = 11266336447 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11266336447) 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, 300739 + ... + 336119.

Almost surely, 211266336449 is an apocalyptic number.

11266336449 is the 106143-rd square number.

11266336449 is the 53072-nd centered octagonal number.

It is an amenable number.

11266336449 is a deficient number, since it is larger than the sum of its proper divisors (5007720610).

11266336449 is an frugal number, since it uses more digits than its factorization.

11266336449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70768 (or 35384 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

The spelling of 11266336449 in words is "eleven billion, two hundred sixty-six million, three hundred thirty-six thousand, four hundred forty-nine".

Divisors: 1 3 9 35381 106143 318429 1251815161 3755445483 11266336449