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12432919009 = 721729372
BaseRepresentation
bin10111001010000111…
…10100100111100001
31012002110201201120211
423211003310213201
5200430311402014
65413412334121
7620046032200
oct134503644741
935073651524
1012432919009
115300071085
1224ab914341
131231a60914
1485d311237
154cb787cc4
hex2e50f49e1

12432919009 has 27 divisors (see below), whose sum is σ = 15379993593. Its totient is φ = 10019213568.

The previous prime is 12432918943. The next prime is 12432919027. The reversal of 12432919009 is 90091923421.

The square root of 12432919009 is 111503.

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

12432919009 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 812079009 + 11620840000 = 28497^2 + 107800^2 .

It is a de Polignac number, because none of the positive numbers 2k-12432919009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12432919309) 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 26 ways as a sum of consecutive naturals, for example, 13268389 + ... + 13269325.

Almost surely, 212432919009 is an apocalyptic number.

12432919009 is the 111503-rd square number.

12432919009 is the 55752-nd centered octagonal number.

It is an amenable number.

12432919009 is a deficient number, since it is larger than the sum of its proper divisors (2947074584).

12432919009 is an frugal number, since it uses more digits than its factorization.

12432919009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1922 (or 961 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 40.

The spelling of 12432919009 in words is "twelve billion, four hundred thirty-two million, nine hundred nineteen thousand, nine".

Divisors: 1 7 17 49 119 289 833 937 2023 6559 14161 15929 45913 111503 270793 780521 877969 1895551 6145783 13268857 14925473 43020481 104478311 253733041 731348177 1776131287 12432919009