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2008413149 is a prime number
BaseRepresentation
bin111011110110101…
…1111001111011101
312011222011221220012
41313231133033131
513103123210044
6531143133005
7100525141631
oct16755371735
95158157805
102008413149
11940773586
12480744165
13260131862
14150a48dc1
15bb4c559e
hex77b5f3dd

2008413149 has 2 divisors, whose sum is σ = 2008413150. Its totient is φ = 2008413148.

The previous prime is 2008413137. The next prime is 2008413161. The reversal of 2008413149 is 9413148002.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (2008413137) and next prime (2008413161).

It can be written as a sum of positive squares in only one way, i.e., 1375890649 + 632522500 = 37093^2 + 25150^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2008413149 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2008413119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1004206574 + 1004206575.

It is an arithmetic number, because the mean of its divisors is an integer number (1004206575).

Almost surely, 22008413149 is an apocalyptic number.

It is an amenable number.

2008413149 is a deficient number, since it is larger than the sum of its proper divisors (1).

2008413149 is an equidigital number, since it uses as much as digits as its factorization.

2008413149 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 2008413149 is about 44815.3227032898. The cubic root of 2008413149 is about 1261.6852290722.

It can be divided in two parts, 20084 and 13149, that added together give a palindrome (33233).

The spelling of 2008413149 in words is "two billion, eight million, four hundred thirteen thousand, one hundred forty-nine".