On Oct $312015,$ massive asteroid TB$145$ nicknamed "Spooky" passed near the Earth vicinity. The measured diameter of the asteroid: $550$meters $,$ and its speed relative to the Sun: $32\mathrm{.}0$ km$/$s$.$

$($NOTE you are not given the parameters of collision, so they become important part of the "worst case $$best case scenario."$)$ Treat the asteroid as spherical object with the density of between $2$g$/$cm$3$ to $6$g$/$cm$3.$ Treat an Earth's orbit around the Sun as a perfect circle of radius $=150$ x $106$ km$.$ Take one year$$ to be $365\mathrm{.}24$days.

Find the worst case scenario for the collision of such object with the Earth and find the Maximum energy released in the completely inelastic collision of this object with Earth. State your answers to the nearest mega$-$ton of TNT$.(1$ megaton of TNT$=4\mathrm{.}184$ x$1015$J$).$