Basenumbers and binary looking palindromic powers.

On [ June 18, 1999 ] Felice Russo found two composite 'binary looking'
palindromic solutions for Carlos Rivera's Puzzle 32.

First take base B equal to 9258425091759 and verify that ( B⁰ = 1 )

111101101101111
=
B¹ + B¹ + B¹ + B¹ + B⁰ + B¹ + B¹ + B⁰ + B¹ + B¹ + B⁰ + B¹ + B¹ + B¹ + B¹

Secondly take base B equal to 16835000001682 and verify that

101010000010101
=
B¹ + B⁰ + B¹ + B⁰ + B¹ + B⁰ + B⁰ + B⁰ + B⁰ + B⁰ + B¹ + B⁰ + B¹ + B⁰ + B¹