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9000099900009 = 32173311031172373
BaseRepresentation
bin1000001011110111111111…
…0000011110101001101001
31011212101211102210021101200
42002331333300132221221
52134424201033300014
631050331103434413
71616143602623031
oct202757760365151
934771742707350
109000099900009
11295aa14841519
1210143432b5a09
13503923799b1a
1423187008c8c1
151091a7361a09
hex82f7fc1ea69

9000099900009 has 48 divisors (see below), whose sum is σ = 13819915833984. Its totient is φ = 5624567308800.

The previous prime is 9000099899981. The next prime is 9000099900019.

9000099900009 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 9000099900009 - 27 = 9000099899881 is a prime.

It is not an unprimeable number, because it can be changed into a prime (9000099900019) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52126747 + ... + 52299119.

It is an arithmetic number, because the mean of its divisors is an integer number (287914913208).

Almost surely, 29000099900009 is an apocalyptic number.

It is an amenable number.

9000099900009 is a deficient number, since it is larger than the sum of its proper divisors (4819815933975).

9000099900009 is a wasteful number, since it uses less digits than its factorization.

9000099900009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173758 (or 173755 counting only the distinct ones).

The product of its (nonzero) digits is 59049, while the sum is 45.

The spelling of 9000099900009 in words is "nine trillion, ninety-nine million, nine hundred thousand, nine".

Divisors: 1 3 9 17 51 153 331 993 1031 2979 3093 5627 9279 16881 17527 50643 52581 157743 172373 341261 517119 1023783 1551357 2930341 3071349 5801437 8791023 17404311 26373069 52212933 57055463 171166389 177716563 513499167 533149689 969942871 1599449067 2909828613 3021181571 8729485839 9063544713 27190634139 58824182353 176472547059 529417641177 1000011100001 3000033300003 9000099900009