The mass of an isolated black hole where \( \textbf{J} = 0 \) and \( Q = 0 \) is \( 10^{5} M_{\odot} \).The black hole evaporates through Hawking radiation over a long period of time and reaches a mass of \( 10^{3} M_{\odot} \). The change in temperature of the black hole can be expressed to three significant figures as \( \overline{abc} \times 10^{-13} \text{K} \). What is the value of \( \overline{abc} \)?

Due to approximation of constants and potential rounding errors, we accept a 2% range of answers for this problem.

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