Search a number
-
+
5105468286 = 2332314512833
BaseRepresentation
bin1001100000100111…
…10100001101111110
3111011210211122212000
410300103310031332
540423444441121
62202335523130
7240342523122
oct46023641576
914153748760
105105468286
11218a9a3986
12ba59894a6
13634968369
143660b7582
151ed33b526
hex1304f437e

5105468286 has 64 divisors (see below), whose sum is σ = 11851107840. Its totient is φ = 1626134400.

The previous prime is 5105468281. The next prime is 5105468311. The reversal of 5105468286 is 6828645015.

5105468286 is a `hidden beast` number, since 5 + 105 + 468 + 2 + 86 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5105468281) 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, 1800726 + ... + 1803558.

It is an arithmetic number, because the mean of its divisors is an integer number (185173560).

Almost surely, 25105468286 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5105468286, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5925553920).

5105468286 is an abundant number, since it is smaller than the sum of its proper divisors (6745639554).

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

5105468286 is a wasteful number, since it uses less digits than its factorization.

5105468286 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4318 (or 4312 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 5105468286 is about 71452.5596882295. The cubic root of 5105468286 is about 1721.9156012490.

The spelling of 5105468286 in words is "five billion, one hundred five million, four hundred sixty-eight thousand, two hundred eighty-six".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 138 207 414 621 1242 1451 2833 2902 4353 5666 8499 8706 13059 16998 25497 26118 33373 39177 50994 65159 66746 76491 78354 100119 130318 152982 195477 200238 300357 390954 586431 600714 901071 1172862 1759293 1802142 3518586 4110683 8221366 12332049 24664098 36996147 73992294 94545709 110988441 189091418 221976882 283637127 567274254 850911381 1701822762 2552734143 5105468286