Search a number
-
+
18591229404 = 22331122949057
BaseRepresentation
bin10001010100000111…
…111010010111011100
31202222122200022022000
4101110013322113130
5301033323320104
612312442322300
71225464561666
oct212407722734
952878608260
1018591229404
11798029a900
12372a1b9390
1319a3878077
14c8516d536
1573c242639
hex4541fa5dc

18591229404 has 144 divisors (see below), whose sum is σ = 54807597600. Its totient is φ = 5439329280.

The previous prime is 18591229399. The next prime is 18591229417. The reversal of 18591229404 is 40492219581.

It is a happy number.

18591229404 is a `hidden beast` number, since 18 + 5 + 9 + 1 + 229 + 404 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 18591229404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 354444 + ... + 403500.

Almost surely, 218591229404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18591229404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27403798800).

18591229404 is an abundant number, since it is smaller than the sum of its proper divisors (36216368196).

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

18591229404 is a wasteful number, since it uses less digits than its factorization.

18591229404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49121 (or 49102 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 18591229404 in words is "eighteen billion, five hundred ninety-one million, two hundred twenty-nine thousand, four hundred four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 29 33 36 44 54 58 66 87 99 108 116 121 132 174 198 242 261 297 319 348 363 396 484 522 594 638 726 783 957 1044 1089 1188 1276 1452 1566 1914 2178 2871 3132 3267 3509 3828 4356 5742 6534 7018 8613 10527 11484 13068 14036 17226 21054 31581 34452 42108 49057 63162 94743 98114 126324 147171 189486 196228 294342 378972 441513 539627 588684 883026 1079254 1324539 1422653 1618881 1766052 2158508 2649078 2845306 3237762 4267959 4856643 5298156 5690612 5935897 6475524 8535918 9713286 11871794 12803877 14569929 15649183 17071836 17807691 19426572 23743588 25607754 29139858 31298366 35615382 38411631 46947549 51215508 53423073 58279716 62596732 71230764 76823262 93895098 106846146 140842647 153646524 160269219 172141013 187790196 213692292 281685294 320538438 344282026 422527941 516423039 563370588 641076876 688564052 845055882 1032846078 1549269117 1690111764 2065692156 3098538234 4647807351 6197076468 9295614702 18591229404