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2005659137 = 67281106531
BaseRepresentation
bin111011110001011…
…1110111000000001
312011210000001002202
41313202332320001
513101422043022
6531004122545
7100462551506
oct16742767001
95153001082
102005659137
1193a162439
1247b836455
1325c6a9171
1415052d4ad
15bb12e592
hex778bee01

2005659137 has 8 divisors (see below), whose sum is σ = 2042857632. Its totient is φ = 1968674400.

The previous prime is 2005659113. The next prime is 2005659151. The reversal of 2005659137 is 7319565002.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 2005659137 - 28 = 2005658881 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2005659137.

It is not an unprimeable number, because it can be changed into a prime (2005659637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34439 + ... + 72092.

It is an arithmetic number, because the mean of its divisors is an integer number (255357204).

Almost surely, 22005659137 is an apocalyptic number.

It is an amenable number.

2005659137 is a deficient number, since it is larger than the sum of its proper divisors (37198495).

2005659137 is a wasteful number, since it uses less digits than its factorization.

2005659137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106879.

The product of its (nonzero) digits is 56700, while the sum is 38.

The square root of 2005659137 is about 44784.5859308758. The cubic root of 2005659137 is about 1261.1082751247.

The spelling of 2005659137 in words is "two billion, five million, six hundred fifty-nine thousand, one hundred thirty-seven".

Divisors: 1 67 281 18827 106531 7137577 29935211 2005659137