Hello there!

I have a mathematical question that I would appreciate if someone could check my answer to.

What is the sun’s mass that must be converted to energy each second to produce the sun's luminosity?

Note to self: Luminosity is a measure of the total energy radiated by a star in one second.

If the luminosity of the sun equals (3.826 * 10^26 J/s), attempting to solve using E=mc^2:

E is simply the luminosity of the sun, if I am not mistaken.
m is what I am solving for.
c is the speed of light, namely 299,792,458 m/s

Therefore:

(3.826 * 10^26) = m * (299,792,458)^2

(3.826 * 10^26) = 89,895,517,870,000,000 m

Divide by that long number (I prefer to do it the long way!) and get:

4,256,052,015 ???

What unit of measurement should 4,256,052,015 be? This certainly doesn't sound like the correct answer!

Help me get on the right track.

Many thanks!