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90000999900009 = 331123761107114073
BaseRepresentation
bin10100011101101011111101…
…101000001110001101101001
3102210200000022102120110102000
4110131223331220032031221
543244034021433300014
6515225515533001213
724646233451501212
oct2435537550161551
9383600272513360
1090000999900009
112674a234138900
12a116968923209
133b2b09a1c1243
141832100806409
15a611ec53d509
hex51dafda0e369

90000999900009 has 192 divisors, whose sum is σ = 154417794128640. Its totient is φ = 51713491737600.

The previous prime is 90000999899969. The next prime is 90000999900041.

90000999900009 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 90000999900009 - 220 = 90000998851433 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (90000999900059) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 788920197 + ... + 789034269.

It is an arithmetic number, because the mean of its divisors is an integer number (804259344420).

Almost surely, 290000999900009 is an apocalyptic number.

90000999900009 is a gapful number since it is divisible by the number (99) formed by its first and last digit.

It is an amenable number.

90000999900009 is a deficient number, since it is larger than the sum of its proper divisors (64416794228631).

90000999900009 is a wasteful number, since it uses less digits than its factorization.

90000999900009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114309 (or 114292 counting only the distinct ones).

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

The spelling of 90000999900009 in words is "ninety trillion, nine hundred ninety-nine million, nine hundred thousand, nine".