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9000007000009 is a prime number
BaseRepresentation
bin1000001011110111101000…
…1110000101111111001001
31011212101120221222110112221
42002331322032011333021
52134424003243000014
631050313544334041
71616141364161404
oct202757216057711
934771527873487
109000007000009
11295a97735a363
121014318174321
1350390a470bcc
142318619c8d3b
1510919e110b24
hex82f7a385fc9

9000007000009 has 2 divisors, whose sum is σ = 9000007000010. Its totient is φ = 9000007000008.

The previous prime is 9000006999983. The next prime is 9000007000027.

9000007000009 is nontrivially palindromic in base 10.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8999982000009 + 25000000 = 2999997^2 + 5000^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 9000007000009 - 227 = 8999872782281 is a prime.

It is a super-2 number, since 2×90000070000092 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (9000007001009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4500003500004 + 4500003500005.

It is an arithmetic number, because the mean of its divisors is an integer number (4500003500005).

Almost surely, 29000007000009 is an apocalyptic number.

It is an amenable number.

9000007000009 is a deficient number, since it is larger than the sum of its proper divisors (1).

9000007000009 is an equidigital number, since it uses as much as digits as its factorization.

9000007000009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 567, while the sum is 25.

The spelling of 9000007000009 in words is "nine trillion, seven million, nine", and thus it is an aban number and an uban number.