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9000990009 = 3211731379091
BaseRepresentation
bin10000110001000000…
…00011010100111001
3212020021221200001100
420120200003110321
5121413223140014
64045054242013
7436024103244
oct103040032471
925207850040
109000990009
1138a9908020
1218b24b6309
13b05a38abb
146155d225b
1537a325009
hex218803539

9000990009 has 48 divisors (see below), whose sum is σ = 14484210624. Its totient is φ = 5340556800.

The previous prime is 9000989971. The next prime is 9000990071.

9000990009 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 9000990009 - 221 = 8998892857 is a prime.

It is a super-2 number, since 2×90009900092 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (9000990209) 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, 985554 + ... + 994644.

It is an arithmetic number, because the mean of its divisors is an integer number (301754388).

Almost surely, 29000990009 is an apocalyptic number.

9000990009 is a gapful number since it is divisible by the number (99) formed by its first and last digit.

It is an amenable number.

9000990009 is a deficient number, since it is larger than the sum of its proper divisors (5483220615).

9000990009 is a wasteful number, since it uses less digits than its factorization.

9000990009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9318 (or 9315 counting only the distinct ones).

The product of its (nonzero) digits is 6561, while the sum is 36.

The square root of 9000990009 is about 94873.5474671418. The cubic root of 9000990009 is about 2080.1600906890.

The spelling of 9000990009 in words is "nine billion, nine hundred ninety thousand, nine".

Divisors: 1 3 9 11 33 73 99 137 219 411 657 803 1233 1507 2409 4521 7227 9091 10001 13563 27273 30003 81819 90009 100001 110011 300003 330033 663643 900009 990099 1245467 1990929 3736401 5972787 7300073 11209203 13700137 21900219 41100411 65700657 90919091 123301233 272757273 818271819 1000110001 3000330003 9000990009