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12793193449 = 19259532
BaseRepresentation
bin10111110101000100…
…01010001111101001
31020000120122120012121
423322202022033221
5202200024142244
65513242311241
7632012231041
oct137242121751
936016576177
1012793193449
115475473653
1225904b8521
13128b5a356a
148950d4721
154ed200c84
hex2fa88a3e9

12793193449 has 9 divisors (see below), whose sum is σ = 13504226103. Its totient is φ = 12117831552.

The previous prime is 12793193437. The next prime is 12793193459. The reversal of 12793193449 is 94439139721.

The square root of 12793193449 is 113107.

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

It can be written as a sum of positive squares in only one way, i.e., 107226025 + 12685967424 = 10355^2 + 112632^2 .

It is not a de Polignac number, because 12793193449 - 27 = 12793193321 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12793193396 and 12793193405.

It is not an unprimeable number, because it can be changed into a prime (12793193459) 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, 2146057 + ... + 2152009.

It is an arithmetic number, because the mean of its divisors is an integer number (1500469567).

Almost surely, 212793193449 is an apocalyptic number.

12793193449 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

12793193449 is the 113107-th square number.

12793193449 is the 56554-th centered octagonal number.

It is an amenable number.

12793193449 is a deficient number, since it is larger than the sum of its proper divisors (711032654).

12793193449 is an frugal number, since it uses more digits than its factorization.

12793193449 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11944 (or 5972 counting only the distinct ones).

The product of its digits is 1469664, while the sum is 52.

The spelling of 12793193449 in words is "twelve billion, seven hundred ninety-three million, one hundred ninety-three thousand, four hundred forty-nine".

Divisors: 1 19 361 5953 113107 2149033 35438209 673325971 12793193449