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27641665129 = 1310009212437
BaseRepresentation
bin11001101111100100…
…100101011001101001
32122100101200002010011
4121233210211121221
5423102231241004
620410504451521
71665662163661
oct315744453151
978311602104
1027641665129
11107a4aaa151
125435179ba1
1327b6906b90
1414a31531a1
15abba83004
hex66f925669

27641665129 has 8 divisors (see below), whose sum is σ = 29771061320. Its totient is φ = 25512713856.

The previous prime is 27641665109. The next prime is 27641665273. The reversal of 27641665129 is 92156614672.

It can be written as a sum of positive squares in 4 ways, for example, as 10332315904 + 17309349225 = 101648^2 + 131565^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 27641665129 - 27 = 27641665001 is a prime.

It is a super-2 number, since 2×276416651292 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (27641665109) 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 in 7 ways as a sum of consecutive naturals, for example, 23899 + ... + 236335.

It is an arithmetic number, because the mean of its divisors is an integer number (3721382665).

Almost surely, 227641665129 is an apocalyptic number.

It is an amenable number.

27641665129 is a deficient number, since it is larger than the sum of its proper divisors (2129396191).

27641665129 is a wasteful number, since it uses less digits than its factorization.

27641665129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222459.

The product of its digits is 1088640, while the sum is 49.

The spelling of 27641665129 in words is "twenty-seven billion, six hundred forty-one million, six hundred sixty-five thousand, one hundred twenty-nine".

Divisors: 1 13 10009 130117 212437 2761681 2126281933 27641665129