Search a number
-
+
45322022824 = 23131133856537
BaseRepresentation
bin101010001101011001…
…110010111110101000
311022222120101022022221
4222031121302332220
51220304414212244
632453132123424
73163056560221
oct521531627650
9138876338287
1045322022824
1118248111611
12894a306574
13437384ccb0
14229d336248
1512a3d4c784
hexa8d672fa8

45322022824 has 32 divisors (see below), whose sum is σ = 92325519720. Its totient is φ = 20732737536.

The previous prime is 45322022821. The next prime is 45322022857. The reversal of 45322022824 is 42822022354.

It can be written as a sum of positive squares in 4 ways, for example, as 19201644900 + 26120377924 = 138570^2 + 161618^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 45322022824.

It is not an unprimeable number, because it can be changed into a prime (45322022821) 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, 1916517 + ... + 1940020.

Almost surely, 245322022824 is an apocalyptic number.

It is an amenable number.

45322022824 is an abundant number, since it is smaller than the sum of its proper divisors (47003496896).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

45322022824 is a wasteful number, since it uses less digits than its factorization.

45322022824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3856669 (or 3856665 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 34.

The spelling of 45322022824 in words is "forty-five billion, three hundred twenty-two million, twenty-two thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 13 26 52 104 113 226 452 904 1469 2938 5876 11752 3856537 7713074 15426148 30852296 50134981 100269962 200539924 401079848 435788681 871577362 1743154724 3486309448 5665252853 11330505706 22661011412 45322022824