Can you replace the question mark with the correct number, given the pair of numbers exhibits similar relationship?

? : 3839 :: 11 : 1209

16

Formular used :
pow(x,3) - pow(x,2) - 1
11*11*11 - 11*11 - 1
1331 - 121 - 1
1209

Similarly, we can solve
pow($x,3) - pow($x,2) - 1 = 3839
This condition holds true for number-16.

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