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9983909670 = 2357194753239
BaseRepresentation
bin10010100110001011…
…00101111100100110
3221202210111011100020
421103011211330212
5130421340102140
64330405500010
7502260555240
oct112305457446
927683434306
109983909670
114263725119
121b27711606
13c31575777
146a9d75090
153d67806d0
hex253165f26

9983909670 has 128 divisors (see below), whose sum is σ = 29439590400. Its totient is φ = 2115891072.

The previous prime is 9983909641. The next prime is 9983909743. The reversal of 9983909670 is 769093899.

9983909670 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 160911 + ... + 214149.

It is an arithmetic number, because the mean of its divisors is an integer number (229996800).

Almost surely, 29983909670 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9983909670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14719795200).

9983909670 is an abundant number, since it is smaller than the sum of its proper divisors (19455680730).

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

9983909670 is a wasteful number, since it uses less digits than its factorization.

9983909670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53322.

The product of its (nonzero) digits is 6613488, while the sum is 60.

The square root of 9983909670 is about 99919.5159615978. The cubic root of 9983909670 is about 2153.2785508838.

The spelling of 9983909670 in words is "nine billion, nine hundred eighty-three million, nine hundred nine thousand, six hundred seventy".

Divisors: 1 2 3 5 6 7 10 14 15 19 21 30 35 38 42 47 57 70 94 95 105 114 133 141 190 210 235 266 282 285 329 399 470 570 658 665 705 798 893 987 1330 1410 1645 1786 1974 1995 2679 3290 3990 4465 4935 5358 6251 8930 9870 12502 13395 18753 26790 31255 37506 53239 62510 93765 106478 159717 187530 266195 319434 372673 532390 745346 798585 1011541 1118019 1597170 1863365 2023082 2236038 2502233 3034623 3726730 5004466 5057705 5590095 6069246 7080787 7506699 10115410 11180190 12511165 14161574 15013398 15173115 17515631 21242361 25022330 30346230 35031262 35403935 37533495 42484722 47542427 52546893 70807870 75066990 87578155 95084854 105093786 106211805 142627281 175156310 212423610 237712135 262734465 285254562 332796989 475424270 525468930 665593978 713136405 998390967 1426272810 1663984945 1996781934 3327969890 4991954835 9983909670