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9006049813 is a prime number
BaseRepresentation
bin10000110001100110…
…10110101000010101
3212020122110201210111
420120303112220111
5121421022043223
64045354523021
7436115105665
oct103063265025
925218421714
109006049813
113901753582
1218b4136471
13b06abab77
1461614c1a5
1537a9c430d
hex218cd6a15

9006049813 has 2 divisors, whose sum is σ = 9006049814. Its totient is φ = 9006049812.

The previous prime is 9006049783. The next prime is 9006049823. The reversal of 9006049813 is 3189406009.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8434218244 + 571831569 = 91838^2 + 23913^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-9006049813 is a prime.

It is a super-2 number, since 2×90060498132 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (9006049823) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4503024906 + 4503024907.

It is an arithmetic number, because the mean of its divisors is an integer number (4503024907).

Almost surely, 29006049813 is an apocalyptic number.

It is an amenable number.

9006049813 is a deficient number, since it is larger than the sum of its proper divisors (1).

9006049813 is an equidigital number, since it uses as much as digits as its factorization.

9006049813 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 46656, while the sum is 40.

The square root of 9006049813 is about 94900.2097626765. The cubic root of 9006049813 is about 2080.5497971082.

The spelling of 9006049813 in words is "nine billion, six million, forty-nine thousand, eight hundred thirteen".