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"The total power emitted by the sun is calculated by multiplying the emitted power density by the surface area of the sun which gives 9.5 x 1025 W." it's right?
surface area of sun is 6.088x10^18 m^2
and Power density of sun is 62499432.6 W/m^2

So, the answere for total power emitted by the sun is 3.8x10^26 W.
CMIIW