A199633 Numbers having each digit once and whose 6th power has each digit six times.

7025869314, 7143258096, 7931584062, 8094273561, 8920416357, 9247560381

Offset: 1

Author

T. D. Noe, Nov 09 2011

Keywords

• nonn
• base
• fini
• full

Comments

There are 6 numbers total. There are no higher powers with this property.

Examples

			7025869314 ^6 = 120281934463386157260042215510596389732740014997586987548736.
		

Links

• Patrick De Geest, The nine digits (page 4) with some ten digit (pandigital) exceptions
• Author?, All terms

Crossrefs

Cf. A050278 (pandigital numbers), A199630, A199631, A365144, A199632.

Programs

Mathematica

t = Select[Permutations[Range[0, 9]], #[[1]] > 0 &]; t2 = Select[t, Union[DigitCount[FromDigits[#]^6]] == {6} &]; FromDigits /@ t2