First numbers that belong to both sets:
1,
8,
27,
64,
125,
216,
343,
512,
729,
1000000,
2000376,
5000211,
8000000,
27000000,
64000000,
125000000,
216000000,
343000000,
512000000,
729000000,
1000000000,
1331000000,
1728000000,
2197000000,
2744000000,
3375000000,
4096000000,
4913000000,
5832000000,
6859000000,
8000000000,
9261000000,
10648000000,
12167000000,
13824000000,
15625000000,
17576000000,
19683000000,
21952000000,
24389000000,
27000000000,
29791000000,
32768000000,
35937000000,
39304000000,
42875000000,
46656000000,
50653000000,
54872000000,
59319000000,
64000000000,
68921000000,
74088000000,
79507000000,
85184000000,
91125000000,
97336000000,
103823000000,
110592000000,
117649000000,
125000000000,
132651000000,
140608000000,
147449000187,
148877000000,
157464000000,
166375000000,
175616000000,
185193000000,
195112000000,
205379000000,
216000000000,
226981000000,
238328000000,
250047000000,
262144000000,
274625000000,
278701000768,
287496000000,
300763000000,
314432000000,
328509000000,
343000000000,
348765000319,
357911000000,
373248000000,
389017000000,
405224000000,
421875000000,
438976000000,
456533000000,
474552000000,
493039000000,
512000000000,
531441000000,
551368000000,
571787000000,
592704000000,
614125000000,
636056000000,
658503000000,
681472000000,
704969000000,
729000000000,
748366000039,
753571000000,
778688000000,
804357000000,
830584000000,
857375000000,
884736000000,
912673000000,
941192000000,
970299000000,
1000000000000.