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2008406017 is a prime number
BaseRepresentation
bin111011110110101…
…1101100000000001
312011222011121010001
41313231131200001
513103122443032
6531143040001
7100525112062
oct16755354001
95158147101
102008406017
11940769192
12480740001
1326012b537
14150a46569
15bb4c33e7
hex77b5d801

2008406017 has 2 divisors, whose sum is σ = 2008406018. Its totient is φ = 2008406016.

The previous prime is 2008405979. The next prime is 2008406041. The reversal of 2008406017 is 7106048002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1936088001 + 72318016 = 44001^2 + 8504^2 .

It is a cyclic number.

It is not a de Polignac number, because 2008406017 - 215 = 2008373249 is a prime.

It is not a weakly prime, because it can be changed into another prime (2008406047) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1004203008 + 1004203009.

It is an arithmetic number, because the mean of its divisors is an integer number (1004203009).

Almost surely, 22008406017 is an apocalyptic number.

It is an amenable number.

2008406017 is a deficient number, since it is larger than the sum of its proper divisors (1).

2008406017 is an equidigital number, since it uses as much as digits as its factorization.

2008406017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 2008406017 is about 44815.2431322201. The cubic root of 2008406017 is about 1261.6837356296.

The spelling of 2008406017 in words is "two billion, eight million, four hundred six thousand, seventeen".