Search a number
-
+
51493140241 = 37261332
BaseRepresentation
bin101111111101001110…
…101111011100010001
311220220122102112222021
4233331032233130101
51320424220441431
635353340411441
73502022320204
oct577516573421
9156818375867
1051493140241
111a924598454
129b90b46b81
134b181cc86a
1426c6b6993b
1515159d6b11
hexbfd3af711

51493140241 has 9 divisors (see below), whose sum is σ = 52931090961. Its totient is φ = 50093264592.

The previous prime is 51493140217. The next prime is 51493140253. The reversal of 51493140241 is 14204139415.

The square root of 51493140241 is 226921.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 39251930641 + 12241209600 = 198121^2 + 110640^2 .

It is not a de Polignac number, because 51493140241 - 29 = 51493139729 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 51493140197 and 51493140206.

It is not an unprimeable number, because it can be changed into a prime (51493140211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8393011 + ... + 8399143.

It is an arithmetic number, because the mean of its divisors is an integer number (5881232329).

Almost surely, 251493140241 is an apocalyptic number.

51493140241 is the 226921-st square number.

51493140241 is the 113461-st centered octagonal number.

It is an amenable number.

51493140241 is a deficient number, since it is larger than the sum of its proper divisors (1437950720).

51493140241 is an frugal number, since it uses more digits than its factorization.

51493140241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12340 (or 6170 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

Adding to 51493140241 its reverse (14204139415), we get a palindrome (65697279656).

The spelling of 51493140241 in words is "fifty-one billion, four hundred ninety-three million, one hundred forty thousand, two hundred forty-one".

Divisors: 1 37 1369 6133 226921 8396077 37613689 1391706493 51493140241