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9852079968 = 253234208611
BaseRepresentation
bin10010010110011101…
…01100111101100000
3221102121102111222200
421023032230331200
5130134113024333
64305340133200
7466100204133
oct111316547540
927377374880
109852079968
1141a6273555
121aab537200
13c10169223
1469665a21a
153c9ddec13
hex24b3acf60

9852079968 has 36 divisors (see below), whose sum is σ = 28016853228. Its totient is φ = 3284026560.

The previous prime is 9852079943. The next prime is 9852079999. The reversal of 9852079968 is 8699702589.

9852079968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

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 5 ways as a sum of consecutive naturals, for example, 17104018 + ... + 17104593.

It is an arithmetic number, because the mean of its divisors is an integer number (778245923).

Almost surely, 29852079968 is an apocalyptic number.

It is an amenable number.

9852079968 is an abundant number, since it is smaller than the sum of its proper divisors (18164773260).

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

9852079968 is a wasteful number, since it uses less digits than its factorization.

9852079968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34208627 (or 34208616 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 63.

The square root of 9852079968 is about 99257.6443806723. The cubic root of 9852079968 is about 2143.7590761991.

The spelling of 9852079968 in words is "nine billion, eight hundred fifty-two million, seventy-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 34208611 68417222 102625833 136834444 205251666 273668888 307877499 410503332 547337776 615754998 821006664 1094675552 1231509996 1642013328 2463019992 3284026656 4926039984 9852079968