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A182750
a(n) = the largest multiple of n with n digits and exactly n divisors; a(n) = 0 if no such number exists.
2
1, 0, 0, 0, 0, 0, 0, 99999992, 998117649, 0, 25937424601, 999999999924, 0, 0, 0, 9999999999999872, 0, 999999999999999252, 0, 99999999999999999440, 0, 0, 0, 999999999999999999999456, 9999450940359923567250625, 0, 999999999997420003910299449, 9999999999999999999999972416, 0, 0, 0
OFFSET
1,8
COMMENTS
Conjecture: a(n) > 0 for all nonsquarefree n except for n = 4. - Jon E. Schoenfield, Jun 01 2024
FORMULA
A000005(a(n)) = n if a(n) > 0.
a(n) >= A182749(n).
CROSSREFS
KEYWORD
nonn,base
AUTHOR
Jaroslav Krizek, Nov 27 2010
EXTENSIONS
More terms from Harvey P. Dale, Mar 02 2018
a(24)-a(25) and a(27) from Michael S. Branicky, May 26 2024
a(26), a(28) added, and a(16), a(18), a(20) corrected by Jon E. Schoenfield, May 26 2024
a(29)-a(31) from David A. Corneth, May 27 2024
STATUS
approved