Those Fascinating Numbers 315
57 495 513
the smallest number n such that ω(n) + ω(n + 1) + ω(n + 2) + ω(n + 3) = 21:
here 57 495 513 = 3 · 17 · 53 · 89 · 239, 57 495 514 = 2 · 31 · 67 · 13841, 57 495 515 =
5 · 7 · 11 · 23 · 43 · 151 and 57 495 516 =
22
· 3 · 13 · 29 · 71 · 179 (see the number
987).
59 376 256
the 14th dihedral perfect number (see the number 130).
60 110 701
the third 6-hyperperfect number (see the number 301).
60 466 176 (=
210
·
310)
the third number n 1 whose sum of digits is equal to
5

n (see the number
17 210 368).
60 765 690
the fifth solution of σ(n) = σ(n + 15) (see the number 26).
61 574 510
the number of Niven numbers
109
(see the number 213).
62 722 153 (=
133
· 28 549)
the fourth 12-hyperperfect number (see the number 697).
63 061 489
the sixth prime number p such that
19p−1
1 (mod
p2)
(see the number 43).
66 695 538 (= 2 · 3 · 7 · 13 · 23 · 47 · 113)
the
12th
ideal number (see the number 390).
67 898 771
the largest number which is not the sum of distinct fifth powers (see Journal
of Recreational Mathematics 20 (1988), p. 316).
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