Search a number
-
+
18050431574556 = 223231531060728771
BaseRepresentation
bin1000001101010101100011…
…00011111110001000011100
32100220121022121112002022100
410012222301203332020130
54331214240440341211
6102220130452445100
73542046343565253
oct406526143761034
970817277462270
1018050431574556
11582a166060697
122036365019790
13a0c1c1037554
1446590756179a
152147ee59c156
hex106ab18fe21c

18050431574556 has 144 divisors (see below), whose sum is σ = 47994192949248. Its totient is φ = 5712120086400.

The previous prime is 18050431574551. The next prime is 18050431574599. The reversal of 18050431574556 is 65547513405081.

18050431574556 is a `hidden beast` number, since 1 + 8 + 0 + 5 + 0 + 4 + 3 + 15 + 74 + 556 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18050431574551) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 627368451 + ... + 627397221.

It is an arithmetic number, because the mean of its divisors is an integer number (333293006592).

Almost surely, 218050431574556 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 18050431574556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23997096474624).

18050431574556 is an abundant number, since it is smaller than the sum of its proper divisors (29943761374692).

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

18050431574556 is a wasteful number, since it uses less digits than its factorization.

18050431574556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39472 (or 39467 counting only the distinct ones).

The product of its (nonzero) digits is 10080000, while the sum is 54.

The spelling of 18050431574556 in words is "eighteen trillion, fifty billion, four hundred thirty-one million, five hundred seventy-four thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 31 36 53 62 93 106 124 159 186 212 279 318 372 477 558 636 954 1116 1643 1908 3286 4929 6572 9858 10607 14787 19716 21214 28771 29574 31821 42428 57542 59148 63642 86313 95463 115084 127284 172626 190926 258939 328817 345252 381852 517878 562171 657634 891901 986451 1035756 1124342 1315268 1524863 1686513 1783802 1972902 2248684 2675703 2959353 3049726 3373026 3567604 3945804 4574589 5059539 5351406 5918706 6099452 6746052 8027109 9149178 10119078 10702812 11837412 13723767 16054218 17427301 18298356 20238156 27447534 32108436 34854602 47270753 52281903 54895068 69709204 94541506 104563806 141812259 156845709 189083012 209127612 283624518 305173997 313691418 425436777 567249036 610347994 627382836 850873554 915521991 1220695988 1701747108 1831043982 2746565973 3662087964 5493131946 9460393907 10986263892 16174221841 18920787814 28381181721 32348443682 37841575628 48522665523 56762363442 64696887364 85143545163 97045331046 113524726884 145567996569 170287090326 194090662092 291135993138 340574180652 501400877071 582271986276 1002801754142 1504202631213 2005603508284 3008405262426 4512607893639 6016810524852 9025215787278 18050431574556