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11689285689 = 344122932
BaseRepresentation
bin10101110001011110…
…00101100000111001
31010011122110020110000
422320233011200321
5142414424120224
65211525543213
7562446201054
oct127057054071
933148406400
1011689285689
114a5932a394
122322874b09
131143984cc3
147cc659a9b
154863470c9
hex2b8bc5839

11689285689 has 45 divisors (see below), whose sum is σ = 17959351069. Its totient is φ = 7576839360.

The previous prime is 11689285687. The next prime is 11689285691. The reversal of 11689285689 is 98658298611.

The square root of 11689285689 is 108117.

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

11689285689 is a `hidden beast` number, since 1 + 1 + 68 + 9 + 2 + 8 + 568 + 9 = 666.

11689285689 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11689285687) and next prime (11689285691).

It can be written as a sum of positive squares in 4 ways, for example, as 1946025 + 11687339664 = 1395^2 + 108108^2 .

It is not a de Polignac number, because 11689285689 - 21 = 11689285687 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11689285681) 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 44 ways as a sum of consecutive naturals, for example, 39895027 + ... + 39895319.

Almost surely, 211689285689 is an apocalyptic number.

11689285689 is the 108117-th square number.

11689285689 is the 54059-th centered octagonal number.

It is an amenable number.

11689285689 is a deficient number, since it is larger than the sum of its proper divisors (6270065380).

11689285689 is an frugal number, since it uses more digits than its factorization.

11689285689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 337 counting only the distinct ones).

The product of its digits is 14929920, while the sum is 63.

The spelling of 11689285689 in words is "eleven billion, six hundred eighty-nine million, two hundred eighty-five thousand, six hundred eighty-nine".

Divisors: 1 3 9 27 41 81 123 293 369 879 1107 1681 2637 3321 5043 7911 12013 15129 23733 36039 45387 85849 108117 136161 257547 324351 492533 772641 973053 1477599 2317923 3519809 4432797 6953769 10559427 13298391 31678281 39895173 95034843 144312169 285104529 432936507 1298809521 3896428563 11689285689