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12587831073 = 3211681119737
BaseRepresentation
bin10111011100100101…
…10000111100100001
31012111021020001222200
423232102300330201
5201234441043243
65441024523413
7623636540646
oct135622607441
935437201880
1012587831073
11537a558884
122533780569
131257b8c56c
14875b17dcd
154da187ad3
hex2ee4b0f21

12587831073 has 12 divisors (see below), whose sum is σ = 18184131108. Its totient is φ = 8391098880.

The previous prime is 12587831041. The next prime is 12587831093. The reversal of 12587831073 is 37013878521.

12587831073 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 2 ways, for example, as 5999586849 + 6588244224 = 77457^2 + 81168^2 .

It is not a de Polignac number, because 12587831073 - 25 = 12587831041 is a prime.

It is a super-2 number, since 2×125878310732 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12587831093) 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 11 ways as a sum of consecutive naturals, for example, 45261 + ... + 164997.

It is an arithmetic number, because the mean of its divisors is an integer number (1515344259).

Almost surely, 212587831073 is an apocalyptic number.

It is an amenable number.

12587831073 is a deficient number, since it is larger than the sum of its proper divisors (5596300035).

12587831073 is a wasteful number, since it uses less digits than its factorization.

12587831073 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131424 (or 131421 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 12587831073 in words is "twelve billion, five hundred eighty-seven million, eight hundred thirty-one thousand, seventy-three".

Divisors: 1 3 9 11681 35043 105129 119737 359211 1077633 1398647897 4195943691 12587831073