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90909090909090 = 23252394649909091
BaseRepresentation
bin10100101010111001101100…
…000100100000101110100010
3102220212211020212000101112100
4110222321230010200232202
543403423304233042330
6521203020530511230
725101652006636416
oct2452715404405642
9386784225011470
1090909090909090
1126a6a368906563
12a24295a735516
133b958c900678c
1418640485c6d46
15a79b4a041060
hex52ae6c120ba2

90909090909090 has 96 divisors (see below), whose sum is σ = 237403921248000. Its totient is φ = 24135772227840.

The previous prime is 90909090909071. The next prime is 90909090909121. The reversal of 90909090909090 is 9090909090909.

90909090909090 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

90909090909090 is an undulating number in base 10.

90909090909090 is a modest number, since divided by 90909090 gives 909090 as remainder.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 99545445 + ... + 100454535.

It is an arithmetic number, because the mean of its divisors is an integer number (2472957513000).

Almost surely, 290909090909090 is an apocalyptic number.

90909090909090 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

90909090909090 is an abundant number, since it is smaller than the sum of its proper divisors (146494830338910).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

90909090909090 is a wasteful number, since it uses less digits than its factorization.

90909090909090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 913992 (or 913989 counting only the distinct ones).

The product of its (nonzero) digits is 4782969, while the sum is 63.

Adding to 90909090909090 its reverse (9090909090909), we get a palindrome (99999999999999).

The spelling of 90909090909090 in words is "ninety trillion, nine hundred nine billion, ninety million, nine hundred nine thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 239 478 717 1195 1434 2151 2390 3585 4302 4649 7170 9298 10755 13947 21510 23245 27894 41841 46490 69735 83682 139470 209205 418410 909091 1111111 1818182 2222222 2727273 3333333 4545455 5454546 5555555 6666666 8181819 9090910 9999999 11111110 13636365 16363638 16666665 19999998 27272730 33333330 40909095 49999995 81818190 99999990 217272749 434545498 651818247 1086363745 1303636494 1955454741 2172727490 3259091235 3910909482 4226364059 6518182470 8452728118 9777273705 12679092177 19554547410 21131820295 25358184354 38037276531 42263640590 63395460885 76074553062 126790921770 190186382655 380372765310 1010101010101 2020202020202 3030303030303 5050505050505 6060606060606 9090909090909 10101010101010 15151515151515 18181818181818 30303030303030 45454545454545 90909090909090