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11359935889 = 53220112
BaseRepresentation
bin10101001010001101…
…01101110110010001
31002022200201112110021
422211012231312101
5141231120422024
65115122503441
7551336601421
oct124506556621
932280645407
1011359935889
1148aa429a75
122250504b81
1310c067c173
1479aa06481
1546748bde4
hex2a51add91

11359935889 has 9 divisors (see below), whose sum is σ = 11584078779. Its totient is φ = 11140055160.

The previous prime is 11359935869. The next prime is 11359935907. The reversal of 11359935889 is 98853995311.

The square root of 11359935889 is 106583.

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

11359935889 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., 8189345025 + 3170590864 = 90495^2 + 56308^2 .

It is not a de Polignac number, because 11359935889 - 223 = 11351547281 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11359935809) 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, 5647894 + ... + 5649904.

Almost surely, 211359935889 is an apocalyptic number.

11359935889 is the 106583-rd square number.

11359935889 is the 53292-nd centered octagonal number.

It is an amenable number.

11359935889 is a deficient number, since it is larger than the sum of its proper divisors (224142890).

11359935889 is an frugal number, since it uses more digits than its factorization.

11359935889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4128 (or 2064 counting only the distinct ones).

The product of its digits is 10497600, while the sum is 61.

The spelling of 11359935889 in words is "eleven billion, three hundred fifty-nine million, nine hundred thirty-five thousand, eight hundred eighty-nine".

Divisors: 1 53 2011 2809 106583 4044121 5648899 214338413 11359935889