Search a number
-
+
5080811184 = 24354131873
BaseRepresentation
bin1001011101101011…
…10000011010110000
3111010002102221200000
410232311300122300
540401141424214
62200055230000
7236623116411
oct45665603260
914102387600
105080811184
112177a92709
12b99678300
1362c814267
14362ad9808
151eb0ba809
hex12ed706b0

5080811184 has 120 divisors (see below), whose sum is σ = 15105981072. Its totient is φ = 1652244480.

The previous prime is 5080811171. The next prime is 5080811189. The reversal of 5080811184 is 4811180805.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5080811189) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 143472 + ... + 175344.

Almost surely, 25080811184 is an apocalyptic number.

5080811184 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5080811184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7552990536).

5080811184 is an abundant number, since it is smaller than the sum of its proper divisors (10025169888).

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

5080811184 is a wasteful number, since it uses less digits than its factorization.

5080811184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31937 (or 31919 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 36.

The square root of 5080811184 is about 71279.8090906534. The cubic root of 5080811184 is about 1719.1391022546.

Adding to 5080811184 its reverse (4811180805), we get a palindrome (9891991989).

The spelling of 5080811184 in words is "five billion, eighty million, eight hundred eleven thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 41 48 54 72 81 82 108 123 144 162 164 216 243 246 324 328 369 432 486 492 648 656 738 972 984 1107 1296 1476 1944 1968 2214 2952 3321 3888 4428 5904 6642 8856 9963 13284 17712 19926 26568 31873 39852 53136 63746 79704 95619 127492 159408 191238 254984 286857 382476 509968 573714 764952 860571 1147428 1306793 1529904 1721142 2294856 2581713 2613586 3442284 3920379 4589712 5163426 5227172 6884568 7745139 7840758 10326852 10454344 11761137 13769136 15490278 15681516 20653704 20908688 23522274 30980556 31363032 35283411 41307408 47044548 61961112 62726064 70566822 94089096 105850233 123922224 141133644 188178192 211700466 282267288 317550699 423400932 564534576 635101398 846801864 1270202796 1693603728 2540405592 5080811184