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9009090909009 = 337313733363667
BaseRepresentation
bin1000001100011001011110…
…1010011101001101010001
31011220021001000221212002000
42003012113222131031101
52140101104233042014
631054415204144213
71616612446136202
oct203062752351521
934807030855060
109009090909009
112963808a51674
121016032398069
1350472741c8a9
142320842035a9
15109531864509
hex83197a9d351

9009090909009 has 32 divisors (see below), whose sum is σ = 13628391104640. Its totient is φ = 5880546314496.

The previous prime is 9009090909001. The next prime is 9009090909017.

9009090909009 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (9009090909001) and next prime (9009090909017).

It is not a de Polignac number, because 9009090909009 - 23 = 9009090909001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (9009090909001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16411807 + ... + 16951860.

It is an arithmetic number, because the mean of its divisors is an integer number (425887222020).

Almost surely, 29009090909009 is an apocalyptic number.

It is an amenable number.

9009090909009 is a deficient number, since it is larger than the sum of its proper divisors (4619300195631).

9009090909009 is a wasteful number, since it uses less digits than its factorization.

9009090909009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33363886 (or 33363880 counting only the distinct ones).

The product of its (nonzero) digits is 531441, while the sum is 54.

The spelling of 9009090909009 in words is "nine trillion, nine billion, ninety million, nine hundred nine thousand, nine".

Divisors: 1 3 9 27 73 137 219 411 657 1233 1971 3699 10001 30003 90009 270027 33363667 100091001 300273003 900819009 2435547691 4570822379 7306643073 13712467137 21919929219 41137401411 65759787657 123412204233 333670033667 1001010101001 3003030303003 9009090909009