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2008136729 is a prime number
BaseRepresentation
bin111011110110001…
…1011110000011001
312011221122220201102
41313230123300121
513103040333404
6531133201145
7100522611014
oct16754336031
95157586642
102008136729
119405a4935
124806301b5
13260065ab1
141509b637b
15bb46d71e
hex77b1bc19

2008136729 has 2 divisors, whose sum is σ = 2008136730. Its totient is φ = 2008136728.

The previous prime is 2008136717. The next prime is 2008136759. The reversal of 2008136729 is 9276318002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1603201600 + 404935129 = 40040^2 + 20123^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2008136729 is a prime.

It is a super-2 number, since 2×20081367292 = 8065226244717638882, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2008136692 and 2008136701.

It is not a weakly prime, because it can be changed into another prime (2008136759) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1004068364 + 1004068365.

It is an arithmetic number, because the mean of its divisors is an integer number (1004068365).

Almost surely, 22008136729 is an apocalyptic number.

It is an amenable number.

2008136729 is a deficient number, since it is larger than the sum of its proper divisors (1).

2008136729 is an equidigital number, since it uses as much as digits as its factorization.

2008136729 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36288, while the sum is 38.

The square root of 2008136729 is about 44812.2386073269. The cubic root of 2008136729 is about 1261.6273440645.

The spelling of 2008136729 in words is "two billion, eight million, one hundred thirty-six thousand, seven hundred twenty-nine".