The expression of total energy emitted by Sun is given by,

\(E =\sigma T ^{4}\left(4 \pi R ^{2}\right)\)

The expression of total energy received by Sun is given by,

\(E ^{\prime}=\frac{\sigma T ^{4}\left(4 \pi R _{ s }^{2}\right)}{4 \pi d ^{2}} \pi\left( R _{e}\right)^{2}\)

\(=\frac{\sigma T ^{4} R _{ s }^{2}}{ d ^{2}}\left(\pi R _{ e }^{2}\right)\)

Substitute the values.

\(E ^{\prime}=\frac{\left(5.67 \times 10^{-8}\right)(6000)^{4}\left(7.2 \times 10^{8}\right)^{2}(3.14)\left(6000 \times 10^{3}\right)}{\left(1.5 \times 10^{11}\right)^{2}}\)

\(=19.2 \times 10^{16}\)