1 Tsar Bomba (50 MT = 2e17J) is about 1/28,000,000 of the total solar power delivered to Earth annually, so about 1.4 seconds of top-of-atmosphere solar power (~1.5 million PWh / year).

On the other hand, it roughly equals 1/2000 to 1/3000 of annual global energy consumption (~175 PWh / year) so about 4 hours of human energy.

The energy of those 8000 Tsar Bombas in the Mediterranean then is the same as all of human energy, electrical and fossil and otherwise, going to heating up that sea for a little over 2 years straight, or focussing all sunlight over the disc of the Earth on it for 3 hours.

(All these figures depend on who you ask as all the figures are a little bit fuzzy).

It also shows that any key to climate change revolves around adjusting the modulation of insolation and/or retention - the actual energy used by humans is, for the forseeable future, completely irrelevant except on local scales like warm water outflows into rivers and seas.