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90099099009 = 3373137333667
BaseRepresentation
bin101001111101001010…
…0110010010110000001
322121120011100110102000
41103322110302112001
52434010332132014
6105220240214213
76336511463643
oct1237224622601
9277504313360
1090099099009
11352356576a7
121556600a369
13865b50b94a
14450a136893
152524e04509
hex14fa532581

90099099009 has 32 divisors (see below), whose sum is σ = 136296704640. Its totient is φ = 58810634496.

The previous prime is 90099098981. The next prime is 90099099037.

90099099009 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (90099098981) and next prime (90099099037).

It is not a de Polignac number, because 90099099009 - 220 = 90098050433 is a prime.

It is not an unprimeable number, because it can be changed into a prime (90099099089) 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 31 ways as a sum of consecutive naturals, for example, 103194 + ... + 436860.

It is an arithmetic number, because the mean of its divisors is an integer number (4259272020).

Almost surely, 290099099009 is an apocalyptic number.

It is an amenable number.

90099099009 is a deficient number, since it is larger than the sum of its proper divisors (46197605631).

90099099009 is a wasteful number, since it uses less digits than its factorization.

90099099009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333886 (or 333880 counting only the distinct ones).

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

It can be divided in two parts, 900990 and 99009, that added together give a palindrome (999999).

The spelling of 90099099009 in words is "ninety billion, ninety-nine million, ninety-nine thousand, nine".

Divisors: 1 3 9 27 73 137 219 411 657 1233 1971 3699 10001 30003 90009 270027 333667 1001001 3003003 9009009 24357691 45712379 73073073 137137137 219219219 411411411 657657657 1234234233 3337003667 10011011001 30033033003 90099099009