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9090000000909 = 321012354127961
BaseRepresentation
bin1000010001000110111000…
…1110001001011110001101
31012011222212201200120201100
42010101232032021132031
52142412310000012114
631155515514533313
71625505450104412
oct204215616113615
935158781616640
109090000000909
11299505802a973
121029852737239
1350c24c9b24b9
14235d5b9c4109
1510b6b9a58909
hex8446e38978d

9090000000909 has 36 divisors (see below), whose sum is σ = 13265506610356. Its totient is φ = 5998091040000.

The previous prime is 9090000000869. The next prime is 9090000000941.

9090000000909 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 6 ways, for example, as 1408843180809 + 7681156820100 = 1186947^2 + 2771490^2 .

It is a de Polignac number, because none of the positive numbers 2k-9090000000909 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9090000004909) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 325081689 + ... + 325109649.

Almost surely, 29090000000909 is an apocalyptic number.

It is an amenable number.

9090000000909 is a deficient number, since it is larger than the sum of its proper divisors (4175506609447).

9090000000909 is a wasteful number, since it uses less digits than its factorization.

9090000000909 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31710 (or 31606 counting only the distinct ones).

The product of its (nonzero) digits is 6561, while the sum is 36.

It can be divided in two parts, 9090000000 and 909, that added together give a palindrome (9090000909).

The spelling of 9090000000909 in words is "nine trillion, ninety billion, nine hundred nine", and thus it is an aban number.

Divisors: 1 3 9 101 303 909 3541 10201 10623 27961 30603 31869 83883 91809 251649 357641 1072923 2824061 3218769 8472183 25416549 36121741 99009901 108365223 285230161 297029703 325095669 855690483 891089109 2567071449 10000000001 30000000003 90000000009 1010000000101 3030000000303 9090000000909