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9987226144806 = 23109359108739133
BaseRepresentation
bin1001000101010101010100…
…0100010001000000100110
31022100202202221222011201110
42101111111010101000212
52302112314343113211
633124022433005450
72050360526355051
oct221252504210046
938322687864643
109987226144806
1132006168795a9
1211537119b3886
13575a39896121
1426755482da98
15124bcd7b1ea6
hex91555111026

9987226144806 has 64 divisors (see below), whose sum is σ = 20232966758400. Its totient is φ = 3286235235456.

The previous prime is 9987226144759. The next prime is 9987226144813. The reversal of 9987226144806 is 6084416227899.

9987226144806 = T1 + T2 + ... + T39131.

9987226144806 is a nontrivial binomial coefficient, being equal to C(39133, 3).

It is a congruent number.

It is an unprimeable number.

It is the 39131-st tetrahedral number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 255192816 + ... + 255231948.

It is an arithmetic number, because the mean of its divisors is an integer number (316140105600).

Almost surely, 29987226144806 is an apocalyptic number.

9987226144806 is an abundant number, since it is smaller than the sum of its proper divisors (10245740613594).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9987226144806 is a wasteful number, since it uses less digits than its factorization.

9987226144806 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40693.

The product of its (nonzero) digits is 83607552, while the sum is 66.

The spelling of 9987226144806 in words is "nine trillion, nine hundred eighty-seven billion, two hundred twenty-six million, one hundred forty-four thousand, eight hundred six".

Divisors: 1 2 3 6 109 218 327 359 654 718 1077 1087 2154 2174 3261 6522 39131 39133 78262 78266 117393 117399 118483 234786 234798 236966 355449 390233 710898 780466 1170699 2341398 4265497 8530994 12796491 14048747 25592982 28097494 42146241 42535397 42537571 84292482 85070794 85075142 127606191 127612713 255212382 255225426 1531313423 3062626846 4593940269 4636595239 9187880538 9273190478 13909785717 15270987989 27819571434 30541975978 45812963967 91625927934 1664537690801 3329075381602 4993613072403 9987226144806