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12461926689 = 3212722932
BaseRepresentation
bin10111001101100100…
…11110100100100001
31012011111022110122100
423212302132210201
5201010223123224
65420330201013
7620550425532
oct134662364441
935144273570
1012461926689
115315483a73
1224b9583169
131237a79024
14863102689
154ce0b7ac9
hex2e6c9e921

12461926689 has 27 divisors (see below), whose sum is σ = 18205547763. Its totient is φ = 8214402672.

The previous prime is 12461926679. The next prime is 12461926691. The reversal of 12461926689 is 98662916421.

The square root of 12461926689 is 111633.

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

12461926689 is a `hidden beast` number, since 12 + 4 + 619 + 2 + 6 + 6 + 8 + 9 = 666.

12461926689 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., 11790702225 + 671224464 = 108585^2 + 25908^2 .

It is not a de Polignac number, because 12461926689 - 25 = 12461926657 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (12461926669) 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, 42532027 + ... + 42532319.

Almost surely, 212461926689 is an apocalyptic number.

12461926689 is the 111633-rd square number.

12461926689 is the 55817-th centered octagonal number.

It is an amenable number.

12461926689 is a deficient number, since it is larger than the sum of its proper divisors (5743621074).

12461926689 is an frugal number, since it uses more digits than its factorization.

12461926689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846 (or 423 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The spelling of 12461926689 in words is "twelve billion, four hundred sixty-one million, nine hundred twenty-six thousand, six hundred eighty-nine".

Divisors: 1 3 9 127 293 381 879 1143 2637 16129 37211 48387 85849 111633 145161 257547 334899 772641 4725797 10902823 14177391 32708469 42532173 98125407 1384658521 4153975563 12461926689