Search a number
-
+
65675734241 = 1353616532393
BaseRepresentation
bin111101001010100101…
…000010110011100001
320021112001110222102112
4331022211002303201
52034000441443431
650100534525105
74513335346565
oct751245026341
9207461428375
1065675734241
1125942270217
121088a806795
1362685b0210
1432705b36a5
151a95b86c2b
hexf4a942ce1

65675734241 has 32 divisors (see below), whose sum is σ = 73386365472. Its totient is φ = 58390824960.

The previous prime is 65675734231. The next prime is 65675734249. The reversal of 65675734241 is 14243757656.

It can be written as a sum of positive squares in 16 ways, for example, as 58626452641 + 7049281600 = 242129^2 + 83960^2 .

It is not a de Polignac number, because 65675734241 - 218 = 65675472097 is a prime.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 65675734241.

It is not an unprimeable number, because it can be changed into a prime (65675734249) 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 31 ways as a sum of consecutive naturals, for example, 27443741 + ... + 27446133.

It is an arithmetic number, because the mean of its divisors is an integer number (2293323921).

Almost surely, 265675734241 is an apocalyptic number.

65675734241 is a gapful number since it is divisible by the number (61) formed by its first and last digit.

It is an amenable number.

65675734241 is a deficient number, since it is larger than the sum of its proper divisors (7710631231).

65675734241 is a wasteful number, since it uses less digits than its factorization.

65675734241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3173.

The product of its digits is 4233600, while the sum is 50.

The spelling of 65675734241 in words is "sixty-five billion, six hundred seventy-five million, seven hundred thirty-four thousand, two hundred forty-one".

Divisors: 1 13 53 61 653 689 793 2393 3233 8489 31109 34609 39833 42029 126829 145973 449917 517829 1562629 1648777 1897649 2111149 7736569 20314177 27444937 82819337 95320369 100575397 1076651381 1239164797 5051979557 65675734241