Search a number
-
+
90909900990909 = 327111310091009101
BaseRepresentation
bin10100101010111010011100…
…010110101110100110111101
3102220212220100022022210212200
4110222322130112232212331
543403431434123202114
6521203233145422113
725102011044343120
oct2452723426564675
9386786308283780
1090909900990909
1126a6a744102a70
12a242b45a9a939
133b959c7aa9530
1418640c40183b7
15a79b9620a409
hex52ae9c5ae9bd

90909900990909 has 48 divisors (see below), whose sum is σ = 176310111030144. Its totient is φ = 43593159312000.

The previous prime is 90909900990847. The next prime is 90909900990911.

90909900990909 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 90909900990909 - 216 = 90909900925373 is a prime.

It is a super-2 number, since 2×909099009909092 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90909900990809) 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, 5045495542 + ... + 5045513559.

It is an arithmetic number, because the mean of its divisors is an integer number (3673127313128).

Almost surely, 290909900990909 is an apocalyptic number.

90909900990909 is a gapful number since it is divisible by the number (99) formed by its first and last digit.

It is an amenable number.

90909900990909 is a deficient number, since it is larger than the sum of its proper divisors (85400210039235).

90909900990909 is a wasteful number, since it uses less digits than its factorization.

90909900990909 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10091009138 (or 10091009135 counting only the distinct ones).

The product of its (nonzero) digits is 43046721, while the sum is 72.

The spelling of 90909900990909 in words is "ninety trillion, nine hundred nine billion, nine hundred million, nine hundred ninety thousand, nine hundred nine".

Divisors: 1 3 7 9 11 13 21 33 39 63 77 91 99 117 143 231 273 429 693 819 1001 1287 3003 9009 10091009101 30273027303 70637063707 90819081909 111001100111 131183118313 211911191121 333003300333 393549354939 635733573363 777007700777 918281828191 999009900999 1180648064817 1443014301443 2331023102331 2754845484573 4329042904329 6993069306993 8264536453719 10101100110101 12987128712987 30303300330303 90909900990909