Two ways decomposition

Euler found that $635318657={59}^4+{158}^4={133}^4+{134}^4$

And it was proved in 2004 that it's actually the smallest integer that can be expressed in two different ways as a sum of two 4th powers.

What is the smallest integer that can be written in 2 different ways as a sum of a 4th and a 5th power ?
$n=a_1^4+b_1^5=a_2^4+b_2^5$ where $a_i\text{ and }{b}_i$ are not perfect powers

Answer format : $n,a_1,b_1,a_2,b_2$ with $a_1<a_2$
[My timing: 45 sec]