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90900099000909 = 3311378271917281
BaseRepresentation
bin10100101010110001010100…
…000111000110101001001101
3102220211222001012011010102000
4110222301110013012221031
543403301400321012114
6521154532355022513
725101213122656602
oct2452612407065115
9386758035133360
1090900099000909
1126a66574141890
12a24106b29aa39
133b94ac512a653
1418638342ba6a9
15a797c0911e09
hex52ac541c6a4d

90900099000909 has 32 divisors (see below), whose sum is σ = 150879771223680. Its totient is φ = 53602023974400.

The previous prime is 90900099000899. The next prime is 90900099001001.

90900099000909 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 90900099000909 - 241 = 88701075745357 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90900099000509) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4135947652 + ... + 4135969629.

It is an arithmetic number, because the mean of its divisors is an integer number (4714992850740).

Almost surely, 290900099000909 is an apocalyptic number.

90900099000909 is a gapful number since it is divisible by the number (99) formed by its first and last digit.

It is an amenable number.

90900099000909 is a deficient number, since it is larger than the sum of its proper divisors (59979672222771).

90900099000909 is a wasteful number, since it uses less digits than its factorization.

90900099000909 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8271917338 (or 8271917332 counting only the distinct ones).

The product of its (nonzero) digits is 531441, while the sum is 54.

The spelling of 90900099000909 in words is "ninety trillion, nine hundred billion, ninety-nine million, nine hundred nine", and thus it is an aban number.

Divisors: 1 3 9 11 27 33 37 99 111 297 333 407 999 1221 3663 10989 8271917281 24815751843 74447255529 90991090091 223341766587 272973270273 306060939397 818919810819 918182818191 2456759432457 2754548454573 3366670333367 8263645363719 10100011000101 30300033000303 90900099000909