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8764781098112 = 27132201292
BaseRepresentation
bin111111110001011010110…
…1010011111010010000000
31011000220102122221112222022
41333202311222133102000
52122100232430114422
630350252421101012
71563143306044064
oct177426552372200
934026378845868
108764781098112
11287a139483746
12b9680b557768
134b76911a5200
142243093d5aa4
15102ed3387342
hex7f8b5a9f480

8764781098112 has 72 divisors (see below), whose sum is σ = 18908507318715. Its totient is φ = 4045082615808.

The previous prime is 8764781098069. The next prime is 8764781098133. The reversal of 8764781098112 is 2118901874678.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 4986360456256 + 3778420641856 = 2233016^2 + 1943816^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=2093416.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 435420464 + ... + 435440592.

Almost surely, 28764781098112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8764781098112

8764781098112 is an abundant number, since it is smaller than the sum of its proper divisors (10143726220603).

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

8764781098112 is an frugal number, since it uses more digits than its factorization.

8764781098112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40298 (or 20144 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 62.

The spelling of 8764781098112 in words is "eight trillion, seven hundred sixty-four billion, seven hundred eighty-one million, ninety-eight thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 338 416 676 832 1352 1664 2704 5408 10816 20129 21632 40258 80516 161032 261677 322064 523354 644128 1046708 1288256 2093416 2576512 3401801 4186832 6803602 8373664 13607204 16747328 27214408 33494656 54428816 108857632 217715264 405176641 435430528 810353282 1620706564 3241413128 5267296333 6482826256 10534592666 12965652512 21069185332 25931305024 42138370664 51862610048 68474852329 84276741328 136949704658 168553482656 273899409316 337106965312 547798818632 674213930624 1095597637264 2191195274528 4382390549056 8764781098112