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2008136789 is a prime number
BaseRepresentation
bin111011110110001…
…1011110001010101
312011221122220210122
41313230123301111
513103040334124
6531133201325
7100522611131
oct16754336125
95157586718
102008136789
119405a498a
12480630245
13260065b29
141509b63c1
15bb46d75e
hex77b1bc55

2008136789 has 2 divisors, whose sum is σ = 2008136790. Its totient is φ = 2008136788.

The previous prime is 2008136759. The next prime is 2008136833. The reversal of 2008136789 is 9876318002.

It is an a-pointer prime, because the next prime (2008136833) can be obtained adding 2008136789 to its sum of digits (44).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1829700625 + 178436164 = 42775^2 + 13358^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2008136789 is a prime.

It is a super-2 number, since 2×20081367892 = 8065226726670461042, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2008136729) 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 as a sum of consecutive naturals, namely, 1004068394 + 1004068395.

It is an arithmetic number, because the mean of its divisors is an integer number (1004068395).

Almost surely, 22008136789 is an apocalyptic number.

It is an amenable number.

2008136789 is a deficient number, since it is larger than the sum of its proper divisors (1).

2008136789 is an equidigital number, since it uses as much as digits as its factorization.

2008136789 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 145152, while the sum is 44.

The square root of 2008136789 is about 44812.2392767869. The cubic root of 2008136789 is about 1261.6273566296.

The spelling of 2008136789 in words is "two billion, eight million, one hundred thirty-six thousand, seven hundred eighty-nine".