Those Fascinating Numbers 349
7 826 354 460 (= 22 · 311 · 5 · 472)
the number amongst those
1011,
whose index of composition is the nearest
to π: here λ(7826354460) 3.14159213 (see the number 93 112 129 088 for the
analogue situation with the Euler number e, as well as the method used to
obtain this type of result).
8 303 765 625
the second number n 1 whose sum of digits is equal to
6

n (see the number
34 012 224).
8 583 644 160 (=
210
·
32
· 5 · 7 · 13 · 23 · 89)
the third solution of
σ(n)
n
=
9
2
(see the number 8 910 720).
8 589 869 056 (= 216(217 1))
the sixth perfect number.
8 589 934 590 (= 2 · 3 · 5 · 17 · 257 · 65537)
the sixth number n such that σ(φ(n)) = n/2: the first five are 2, 6, 30, 510 and
131 070.
8 657 437 697
the third number having two representations as the sum of two fourth powers:
8 657 437 697 =
1934
+
2924
=
2564
+
2574
(see the number 635 318 657).
9 000 000 001
the third prime number of the form k · 10k +1 (see the numbers 3 001 and 201).
9 480 294 330 (= 2 · 3 · 5 · 13 · 23 · 47 · 113 · 199)
the
13th
ideal number (see the number 390).
9 876 543 210
the only ten digit self replicating number (see the number 954).
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