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12723163209 = 348321512
BaseRepresentation
bin10111101100101110…
…00001000001001001
31012211200212122210000
423312113001001021
5202024112210314
65502301313213
7630202050201
oct136627010111
935750778700
1012723163209
115439991919
122570b65809
131279c24053
14889aa5401
154e6ebb209
hex2f65c1049

12723163209 has 45 divisors (see below), whose sum is σ = 19366203549. Its totient is φ = 8324418600.

The previous prime is 12723163183. The next prime is 12723163223. The reversal of 12723163209 is 90236132721.

The square root of 12723163209 is 112797.

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

12723163209 is a `hidden beast` number, since 12 + 7 + 2 + 3 + 1 + 632 + 0 + 9 = 666.

It is not a de Polignac number, because 12723163209 - 213 = 12723155017 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12723163259) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 84259284 + ... + 84259434.

Almost surely, 212723163209 is an apocalyptic number.

12723163209 is the 112797-th square number.

12723163209 is the 56399-th centered octagonal number.

It is an amenable number.

12723163209 is a deficient number, since it is larger than the sum of its proper divisors (6643040340).

12723163209 is an frugal number, since it uses more digits than its factorization.

12723163209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

Multiplying 12723163209 by its sum of digits (36), we get a square (458033875524 = 6767822).

The spelling of 12723163209 in words is "twelve billion, seven hundred twenty-three million, one hundred sixty-three thousand, two hundred nine".

Divisors: 1 3 9 27 81 83 151 249 453 747 1359 2241 4077 6723 6889 12231 12533 20667 22801 37599 62001 68403 112797 186003 205209 338391 558009 615627 1015173 1040239 1846881 1892483 3120717 5677449 9362151 17032347 28086453 51097041 84259359 153291123 157076089 471228267 1413684801 4241054403 12723163209