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11686258609 = 17263592
BaseRepresentation
bin10101110001000111…
…00010011110110001
31010011102202110001221
422320203202132301
5142413140233414
65211341025041
7562411362544
oct127043423661
933142673057
1011686258609
114a57652073
122321855181
13114316522c
147cc0ac85b
15485e4a224
hex2b88e27b1

11686258609 has 9 divisors (see below), whose sum is σ = 12416074987. Its totient is φ = 10997101984.

The previous prime is 11686258589. The next prime is 11686258627. The reversal of 11686258609 is 90685268611.

The square root of 11686258609 is 108103.

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

11686258609 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., 9098298225 + 2587960384 = 95385^2 + 50872^2 .

It is not a de Polignac number, because 11686258609 - 29 = 11686258097 is a prime.

It is a super-2 number, since 2×116862586092 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11686358609) 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, 1834572 + ... + 1840930.

Almost surely, 211686258609 is an apocalyptic number.

11686258609 is the 108103-rd square number.

11686258609 is the 54052-nd centered octagonal number.

It is an amenable number.

11686258609 is a deficient number, since it is larger than the sum of its proper divisors (729816378).

11686258609 is an frugal number, since it uses more digits than its factorization.

11686258609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12752 (or 6376 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 52.

The spelling of 11686258609 in words is "eleven billion, six hundred eighty-six million, two hundred fifty-eight thousand, six hundred nine".

Divisors: 1 17 289 6359 108103 1837751 40436881 687426977 11686258609