A culture of bacteria has an initial population of 2900 bacteria and doubles every 5 hours. Using the formula P_t = P_0\cdot 2^{\frac{t}{d}}P t =P0⋅2 dt , where P_tP is the population after t hours, P_0P0 is the initial population, t is the time in hours and d is the doubling time, what is the population of bacteria in the culture after 13 hours, to the nearest whole number?