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BaseRepresentation
bin1000001011110111100111…
…0011011001000000000000
31011212101120110210211100100
42002331321303121000000
52134424000000000000
631050313134322400
71616141250525252
oct202757163310000
934771513724310
109000000000000
11295a973409129
121014315959400
13503908b8c9a9
14231860ac5cd2
1510919d6cba00
hex82f79cd9000

9000000000000 has 507 divisors, whose sum is σ = 32496032688223. Its totient is φ = 2400000000000.

The previous prime is 8999999999993. The next prime is 9000000000059. The reversal of 9000000000000 is 9.

The square root of 9000000000000 is 3000000.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 6 ways, for example, as 5092135243776 + 3907864756224 = 2256576^2 + 1976832^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a Duffinian number.

It is a nialpdrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 8999999999892 and 8999999999901.

It is an unprimeable number.

It is a polite number, since it can be written in 38 ways as a sum of consecutive naturals, for example, 1799999999998 + ... + 1800000000002.

Almost surely, 29000000000000 is an apocalyptic number.

9000000000000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

9000000000000 is the 3000000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9000000000000

9000000000000 is an abundant number, since it is smaller than the sum of its proper divisors (23496032688223).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9000000000000 is an frugal number, since it uses more digits than its factorization.

9000000000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

The spelling of 9000000000000 in words is "nine trillion", and thus it is an aban number and an uban number.