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12444294916 = 221741932
BaseRepresentation
bin10111001011011110…
…01101111100000100
31012010021010200101201
423211233031330010
5200441214414131
65414500232244
7620244522124
oct134557157404
935107120351
1012444294916
115306530a59
1224b369b684
131234214821
14860a32c84
154cc783761
hex2e5bcdf04

12444294916 has 45 divisors (see below), whose sum is σ = 23259104841. Its totient is φ = 5825796096.

The previous prime is 12444294883. The next prime is 12444294937. The reversal of 12444294916 is 61949244421.

The square root of 12444294916 is 111554.

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

It can be written as a sum of positive squares in 7 ways, for example, as 2505002500 + 9939292416 = 50050^2 + 99696^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 64478116 + ... + 64478308.

Almost surely, 212444294916 is an apocalyptic number.

12444294916 is the 111554-th square number.

It is an amenable number.

12444294916 is a deficient number, since it is larger than the sum of its proper divisors (10814809925).

12444294916 is an frugal number, since it uses more digits than its factorization.

12444294916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 212 counting only the distinct ones).

The product of its digits is 497664, while the sum is 46.

The spelling of 12444294916 in words is "twelve billion, four hundred forty-four million, two hundred ninety-four thousand, nine hundred sixteen".

Divisors: 1 2 4 17 34 68 193 289 386 578 772 1156 3281 4913 6562 9826 13124 19652 37249 55777 74498 83521 111554 148996 167042 223108 334084 633233 948209 1266466 1896418 2532932 3792836 10764961 16119553 21529922 32239106 43059844 64478212 183004337 366008674 732017348 3111073729 6222147458 12444294916