How much energy would the Death Star require?

"This planet is going to be modelled after earth with the exception that it is a solid planet. It is then possible to use the gravitational binding energy of the target planet to estimate the amount of energy required to be supplied to the Death Star's laser beam in order to destroy it [...] The energy required to destroy the planet in question is 2.25 ⨉ 10^32 J. However, the destruction of large planets such as Jupiter can require much larger energy demands [...] we can estimate this energy to be 2 ⨉ 10^36 J "

Source: http://io9.com/5876473/how-much-energy-would-the-death-star-require-to-destroy-earth