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12444964249 = 28123972
BaseRepresentation
bin10111001011100011…
…10001010110011001
31012010022101200112211
423211301301112121
5200441402323444
65414522435121
7620253310414
oct134561612631
935108350484
1012444964249
115306948923
1224b3962aa1
1312343ba393
14860b68b7b
154cc866c34
hex2e5c71599

12444964249 has 9 divisors (see below), whose sum is σ = 12520948701. Its totient is φ = 12369440160.

The previous prime is 12444964243. The next prime is 12444964253. The reversal of 12444964249 is 94246944421.

The square root of 12444964249 is 111557.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1489574025 + 10955390224 = 38595^2 + 104668^2 .

It is not a de Polignac number, because 12444964249 - 29 = 12444963737 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12444964243) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 31347319 + ... + 31347715.

Almost surely, 212444964249 is an apocalyptic number.

12444964249 is the 111557-th square number.

12444964249 is the 55779-th centered octagonal number.

It is an amenable number.

12444964249 is a deficient number, since it is larger than the sum of its proper divisors (75984452).

12444964249 is an frugal number, since it uses more digits than its factorization.

12444964249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1356 (or 678 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 49.

Multiplying 12444964249 by its sum of digits (49), we get a square (609803248201 = 7808992).

The spelling of 12444964249 in words is "twelve billion, four hundred forty-four million, nine hundred sixty-four thousand, two hundred forty-nine".

Divisors: 1 281 397 78961 111557 157609 31347517 44288129 12444964249