Let ℝ denote the set of all real numbers. Let f : ℝ → ℝ be a function such that f(x) > 0 for all x ∈ ℝ, and f(x + y) = f(x)f(y) for all x, y ∈ ℝ. Let the real numbers a₁, a₂, …, a₅₀ be in an arithmetic progression. If f(a₃₁) = 64f(a₂₅), and ∑[i=1 to 50] f(aᵢ) = 3(2²⁵ + 1), then the value of ∑[i=6 to 30] f(aᵢ) is _________________.