What is the minimum amount of energy required to **irreversibly** blow up our lovely planet into smithereens?

**Details and assumptions**

Input your answer in Joules

Model the Earth as sphere of uniform volume density composed of tiny neutral pieces of mass.

The radius of the Earth is \(R_e=6371km\).

The mass of the Earth is \(M_e = 5.972\times 10^{24} kg \)

Newton's gravitational constant is \(G=6.673\times10^{-11} m^3 kg^{-1} s^{-2}\)

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