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9000000000001 = 10721578394293
BaseRepresentation
bin1000001011110111100111…
…0011011001000000000001
31011212101120110210211100101
42002331321303121000001
52134424000000000001
631050313134322401
71616141250525253
oct202757163310001
934771513724311
109000000000001
11295a97340912a
121014315959401
13503908b8c9aa
14231860ac5cd3
1510919d6cba01
hex82f79cd9001

9000000000001 has 4 divisors (see below), whose sum is σ = 9000009466452. Its totient is φ = 8999990533552.

The previous prime is 8999999999993. The next prime is 9000000000059. The reversal of 9000000000001 is 1000000000009.

It is a happy number.

It is a Cunningham number, because it is equal to 30000002+1.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 4032561999376 + 4967438000625 = 2008124^2 + 2228775^2 .

It is a cyclic number.

It is not a de Polignac number, because 9000000000001 - 23 = 8999999999993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9000000000071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3124990 + ... + 5269303.

It is an arithmetic number, because the mean of its divisors is an integer number (2250002366613).

Almost surely, 29000000000001 is an apocalyptic number.

It is an amenable number.

9000000000001 is a deficient number, since it is larger than the sum of its proper divisors (9466451).

9000000000001 is a wasteful number, since it uses less digits than its factorization.

9000000000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9466450.

The product of its (nonzero) digits is 9, while the sum is 10.

The spelling of 9000000000001 in words is "nine trillion, one", and thus it is an aban number and an uban number.

Divisors: 1 1072157 8394293 9000000000001