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90909090909 = 33713371019901
BaseRepresentation
bin101010010101010011…
…0101010010001011101
322200122121111022102000
41110222212222101131
52442140211402114
6105432453152513
76365545344240
oct1245246522135
9280577438360
1090909090909
11356108a259a
121575132b739
13875a27c7b0
144585943257
1525710a1e09
hex152a9aa45d

90909090909 has 128 divisors (see below), whose sum is σ = 171943080960. Its totient is φ = 46189440000.

The previous prime is 90909090823. The next prime is 90909090929.

90909090909 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 90909090909 - 27 = 90909090781 is a prime.

It is an alternating number because its digits alternate between odd and even.

90909090909 is an undulating number in base 10.

90909090909 is a modest number, since divided by 9090909 gives 909 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90909090929) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9176859 + ... + 9186759.

It is an arithmetic number, because the mean of its divisors is an integer number (1343305320).

Almost surely, 290909090909 is an apocalyptic number.

It is an amenable number.

90909090909 is a deficient number, since it is larger than the sum of its proper divisors (81033990051).

90909090909 is a wasteful number, since it uses less digits than its factorization.

90909090909 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10068 (or 10062 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, 909090 and 90909, that added together give a palindrome (999999).

The spelling of 90909090909 in words is "ninety billion, nine hundred nine million, ninety thousand, nine hundred nine".

Divisors: 1 3 7 9 13 21 27 37 39 63 91 101 111 117 189 259 273 303 333 351 481 707 777 819 909 999 1313 1443 2121 2331 2457 2727 3367 3737 3939 4329 6363 6993 9191 9901 10101 11211 11817 12987 19089 26159 27573 29703 30303 33633 35451 48581 69307 78477 82719 89109 90909 100899 128713 145743 207921 235431 248157 267327 340067 366337 386139 437229 623763 706293 900991 1000001 1020201 1099011 1158417 1311687 1871289 2564359 2702973 3000003 3060603 3297033 3475251 4762381 7000007 7693077 8108919 9000009 9181809 9891099 13000013 14287143 21000021 23079231 24326757 27000027 33336667 37000037 39000039 42861429 63000063 69237693 91000091 100010001 111000111 117000117 128584287 189000189 259000259 273000273 300030003 333000333 351000351 481000481 777000777 819000819 900090009 999000999 1443001443 2331002331 2457002457 3367003367 4329004329 6993006993 10101010101 12987012987 30303030303 90909090909