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12994404049 = 1124322412
BaseRepresentation
bin11000001101000011…
…01101111011010001
31020112121021010021001
430012201231323101
5203103031412144
65545231102001
7640004416624
oct140641557321
936477233231
1012994404049
115569003100
122627971901
1312c11928a3
148b3b0ddbb
15510be8bd4
hex30686ded1

12994404049 has 27 divisors (see below), whose sum is σ = 14683923387. Its totient is φ = 11490494400.

The previous prime is 12994404041. The next prime is 12994404067. The reversal of 12994404049 is 94040449921.

The square root of 12994404049 is 113993.

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

12994404049 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., 9772706449 + 3221697600 = 98857^2 + 56760^2 .

It is not a de Polignac number, because 12994404049 - 23 = 12994404041 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12994404041) 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, 53918569 + ... + 53918809.

Almost surely, 212994404049 is an apocalyptic number.

12994404049 is the 113993-rd square number.

12994404049 is the 56997-th centered octagonal number.

It is an amenable number.

12994404049 is a deficient number, since it is larger than the sum of its proper divisors (1689519338).

12994404049 is an frugal number, since it uses more digits than its factorization.

12994404049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 46.

The spelling of 12994404049 in words is "twelve billion, nine hundred ninety-four million, four hundred four thousand, forty-nine".

Divisors: 1 11 43 121 241 473 1849 2651 5203 10363 20339 29161 58081 113993 223729 445609 638891 1253923 2497483 4901699 7027801 27472313 53918689 107391769 302195443 1181309459 12994404049