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inconsummate n.  and  powerful n.

First numbers that belong to both sets:

216, 432, 441, 675, 972, 1521, 2592, 2601, 2888, 3872, 4232, 4356, 8192, 8649, 8712, 9248, 9261, 10368, 11025, 11552, 14792, 18432, 19652, 19881, 21600, 25088, 25281, 29241, 29403, 30375, 30752, 31104, 31329, 33275, 34848, 34992, 35912, 35937, 36504, 36864, 36992, 37044, 40328, 41209, 41503, 42336, 42632, 43200, 44100, 47628, 48600, 48668, 48672, 55125, 59319, 59643, 66564, 67500, 68121, 68921, 69192, 69696, 69984, 70227, 70304, 77976, 78608, 81608, 82944, 84500, 84681, 88200, 91592, 91809, 93987, 95048, 95481, 97200, 97344, 97556, 98784, 99225, 103684, 105125, 109503, 109512, 110592, 121032, 129032, 136107, 139392, 142884, 143648, 143883, 148176, 150152, 151875, 152100, 154449, 155952, 159201, 160083, 161051, 164025, 165888, 168921, 169744, 171396, 172872, 177608, 181447, 181476, 185193, 191664, 194481, 199809, 210125, 213444, 216000, 216225, 219024, 223587, 225792, 236196, 238328, 242064, 242208, 243675, 246924, 248832, 249696, 250047, 250632, 251001, 253125, 259200, 260100, 264600, 269361, 275625, 276125, 276768, 280908, 281216, 281961, 285156, 288369, 288800, 291848, 292032, 294849, 294912, 295704, 297992, 299475, 301401, 304200, 307328, 308025, 311364, 313632, 314432, 316808, 318096, 320787, 325125, 326432, 328509, 332667, 338724, 339488, 342792, 349281, 349448, 350892, 352836, 357911, 362952, 363096, 363312, 367236, 369603, 369800, 376712, 378225, 383328, 387200, 389376, 408608, 412232, 420500, 423200, 426888, 430592, 432000, 435125, 435600, 438048, 441000, 451584, 453152, 453789, 455877, 457056, 465125, 472392, 480249, 480491, 484812, 486000, 492032, 493848, 496125, 505521, 520200, 524288, 527076, 528125, 528392, 532512, 535824, 540225, 544428, 549081, 553536, 570312, 571787, 574592, 578888, 580644, 583443, 586971, 587528, 589824, 591872, 592704, 596232, 609725, 609961, 615627, 617400, 622521, 627264, 632025, 632736, 636192, 640332, 640712, 658503, 658952, 660969, 675000, 686792, 691488, 699867, 700928, 703125, 720801, 725904, 726192, 731025, 736164, 740772, 744200, 753003, 753992, 759375, 760500, 763848, 766656, 773768, 778752, 783752, 788544, 788768, 793016, 793881, 798768, 798848, 799236.

Some larger examples :