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9966889966 = 21123103191237
BaseRepresentation
bin10010100100001001…
…01010101111101110
3221201121110110200211
421102010222233232
5130403010434331
64325001013034
7501663111145
oct112204525756
927647413624
109966889966
11425505aa50
121b21a8417a
13c2ab96a37
146a79c475c
153d501c8b1
hex25212abee

9966889966 has 32 divisors (see below), whose sum is σ = 17183881728. Its totient is φ = 4291335840.

The previous prime is 9966889963. The next prime is 9966889993. The reversal of 9966889966 is 6699886699.

9966889966 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

9966889966 is a strobogrammatic number because it is the same when read upside-down.

It is a zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 9966889892 and 9966889901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9966889963) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 43501 + ... + 147736.

It is an arithmetic number, because the mean of its divisors is an integer number (536996304).

Almost surely, 29966889966 is an apocalyptic number.

9966889966 is a deficient number, since it is larger than the sum of its proper divisors (7216991762).

9966889966 is a wasteful number, since it uses less digits than its factorization.

9966889966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191376.

The product of its digits is 544195584, while the sum is 76.

The square root of 9966889966 is about 99834.3125683750. The cubic root of 9966889966 is about 2152.0542807200.

The spelling of 9966889966 in words is "nine billion, nine hundred sixty-six million, eight hundred eighty-nine thousand, nine hundred sixty-six".

Divisors: 1 2 11 22 23 46 103 206 253 506 1133 2266 2369 4738 26059 52118 191237 382474 2103607 4207214 4398451 8796902 19697411 39394822 48382961 96765922 216671521 433343042 453040453 906080906 4983444983 9966889966