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9947713860 = 22325727772843
BaseRepresentation
bin10010100001110111…
…00001000101000100
3221200021101020000200
421100323201011010
5130333103320420
64323034010500
7501341113140
oct112073410504
927607336020
109947713860
114245252727
121b17576a30
13c26c11626
146a5232220
153d34d0b90
hex250ee1144

9947713860 has 144 divisors (see below), whose sum is σ = 34509960576. Its totient is φ = 2272144896.

The previous prime is 9947713859. The next prime is 9947713871. The reversal of 9947713860 is 683177499.

It is a happy number.

9947713860 is a `hidden beast` number, since 99 + 477 + 1 + 3 + 86 + 0 = 666.

It is a super-4 number, since 4×99477138604 (a number of 41 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 9947713797 and 9947713806.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3497599 + ... + 3500441.

It is an arithmetic number, because the mean of its divisors is an integer number (239652504).

Almost surely, 29947713860 is an apocalyptic number.

9947713860 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9947713860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17254980288).

9947713860 is an abundant number, since it is smaller than the sum of its proper divisors (24562246716).

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

9947713860 is a wasteful number, since it uses less digits than its factorization.

9947713860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5642 (or 5637 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The square root of 9947713860 is about 99738.2266736280. The cubic root of 9947713860 is about 2150.6732241829.

The spelling of 9947713860 in words is "nine billion, nine hundred forty-seven million, seven hundred thirteen thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 2777 2843 5554 5686 8331 8529 11108 11372 13885 14215 16662 17058 19439 19901 24993 25587 27770 28430 33324 34116 38878 39802 41655 42645 49986 51174 55540 56860 58317 59703 77756 79604 83310 85290 97195 99505 99972 102348 116634 119406 124965 127935 166620 170580 174951 179109 194390 199010 233268 238812 249930 255870 291585 298515 349902 358218 388780 398020 499860 511740 583170 597030 699804 716436 874755 895545 1166340 1194060 1749510 1791090 3499020 3582180 7895011 15790022 23685033 31580044 39475055 47370066 55265077 71055099 78950110 94740132 110530154 118425165 142110198 157900220 165795231 221060308 236850330 276325385 284220396 331590462 355275495 473700660 497385693 552650770 663180924 710550990 828976155 994771386 1105301540 1421101980 1657952310 1989542772 2486928465 3315904620 4973856930 9947713860