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2006386177 is a prime number
BaseRepresentation
bin111011110010111…
…0000011000000001
312011211100222102011
41313211300120001
513102113324202
6531031452521
7100502000245
oct16745603001
95154328364
102006386177
1193a6096a4
1247bb27141
1325c8a2073
1415067c425
15bb224bd7
hex77970601

2006386177 has 2 divisors, whose sum is σ = 2006386178. Its totient is φ = 2006386176.

The previous prime is 2006386153. The next prime is 2006386181. The reversal of 2006386177 is 7716836002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1422873841 + 583512336 = 37721^2 + 24156^2 .

It is a cyclic number.

It is not a de Polignac number, because 2006386177 - 223 = 1997997569 is a prime.

It is not a weakly prime, because it can be changed into another prime (2006386777) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1003193088 + 1003193089.

It is an arithmetic number, because the mean of its divisors is an integer number (1003193089).

Almost surely, 22006386177 is an apocalyptic number.

It is an amenable number.

2006386177 is a deficient number, since it is larger than the sum of its proper divisors (1).

2006386177 is an equidigital number, since it uses as much as digits as its factorization.

2006386177 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 84672, while the sum is 40.

The square root of 2006386177 is about 44792.7022739196. The cubic root of 2006386177 is about 1261.2606382354.

The spelling of 2006386177 in words is "two billion, six million, three hundred eighty-six thousand, one hundred seventy-seven".