Search a number
-
+
52652144241 = 3240919937177
BaseRepresentation
bin110001000010010011…
…111111011001110001
312000220102022001120100
4301002103333121301
51330312422103431
640104342103013
73542524561464
oct610223773161
9160812261510
1052652144241
11203698432a4
12a25511aa69
134c7136c048
142796a672db
1515826254e6
hexc424ff671

52652144241 has 24 divisors (see below), whose sum is σ = 76287927560. Its totient is φ = 34993161216.

The previous prime is 52652144239. The next prime is 52652144261. The reversal of 52652144241 is 14244125625.

52652144241 is a `hidden beast` number, since 52 + 6 + 521 + 4 + 42 + 41 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 38208911841 + 14443232400 = 195471^2 + 120180^2 .

It is not a de Polignac number, because 52652144241 - 21 = 52652144239 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 52652144196 and 52652144205.

It is not an unprimeable number, because it can be changed into a prime (52652144231) 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 23 ways as a sum of consecutive naturals, for example, 7332645 + ... + 7339821.

Almost surely, 252652144241 is an apocalyptic number.

It is an amenable number.

52652144241 is a deficient number, since it is larger than the sum of its proper divisors (23635783319).

52652144241 is a wasteful number, since it uses less digits than its factorization.

52652144241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9585 (or 9582 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

Adding to 52652144241 its reverse (14244125625), we get a palindrome (66896269866).

The spelling of 52652144241 in words is "fifty-two billion, six hundred fifty-two million, one hundred forty-four thousand, two hundred forty-one".

Divisors: 1 3 9 409 1227 1993 3681 5979 7177 17937 21531 64593 815137 2445411 2935393 7336233 8806179 14303761 26418537 42911283 128733849 5850238249 17550714747 52652144241