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90090099009009 = 3311333667909091
BaseRepresentation
bin10100011110111110111100…
…010110010110010111110001
3102210222112021220021011102000
4110132332330112112113301
543302014010321242014
6515334453052044213
724655536431435331
oct2436767426262761
9383875256234360
1090090099009009
1126783aa6279180
12a130093a63669
133b365c9497408
141836553bd50c1
15a636b4764509
hex51efbc5965f1

90090099009009 has 32 divisors (see below), whose sum is σ = 145600756538880. Its totient is φ = 54599836309200.

The previous prime is 90090099008969. The next prime is 90090099009013.

90090099009009 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 90090099009009 - 213 = 90090099000817 is a prime.

It is not an unprimeable number, because it can be changed into a prime (90090099009019) 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, 98644554 + ... + 99553644.

It is an arithmetic number, because the mean of its divisors is an integer number (4550023641840).

Almost surely, 290090099009009 is an apocalyptic number.

90090099009009 is a gapful number since it is divisible by the number (99) formed by its first and last digit.

It is an amenable number.

90090099009009 is a deficient number, since it is larger than the sum of its proper divisors (55510657529871).

90090099009009 is a wasteful number, since it uses less digits than its factorization.

90090099009009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1242778 (or 1242772 counting only the distinct ones).

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

The spelling of 90090099009009 in words is "ninety trillion, ninety billion, ninety-nine million, nine thousand, nine".

Divisors: 1 3 9 11 27 33 99 297 333667 909091 1001001 2727273 3003003 3670337 8181819 9009009 10000001 11011011 24545457 30000003 33033033 90000009 99099099 270000027 303333666697 910001000091 2730003000273 3336670333667 8190009000819 10010011001001 30030033003003 90090099009009