A culture of bacteria has an initial population of 2100 bacteria and doubles every 4 hours. Using the formula [tex]$P_t = P_0 \cdot 2^{t/d}$[/tex], where [tex]$P_t$[/tex] is the population after [tex]$t$[/tex] hours, [tex]$P_0$[/tex] is the initial population, [tex]$t$[/tex] is the time in hours, and [tex]$d$[/tex] is the doubling time, what is the population of bacteria in the culture after 11 hours, to the nearest whole number?