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18213227220006 = 23272139533166627
BaseRepresentation
bin1000010010000100110001…
…11100000100110000100110
32101111011112010020201220100
410021002120330010300212
54341401142132020011
6102423012512244530
73556601515002300
oct411023074046046
971434463221810
1018213227220006
115892205a47635
122061a18b40746
13a21666538340
1446d74c484970
15218b7b6b3d56
hex109098f04c26

18213227220006 has 144 divisors (see below), whose sum is σ = 49441384936944. Its totient is φ = 4802955792768.

The previous prime is 18213227219977. The next prime is 18213227220059. The reversal of 18213227220006 is 60002272231281.

18213227220006 is a `hidden beast` number, since 18 + 213 + 227 + 2 + 200 + 0 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 109222065 + ... + 109388691.

It is an arithmetic number, because the mean of its divisors is an integer number (343342950951).

Almost surely, 218213227220006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18213227220006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24720692468472).

18213227220006 is an abundant number, since it is smaller than the sum of its proper divisors (31228157716938).

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

18213227220006 is a wasteful number, since it uses less digits than its factorization.

18213227220006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176195 (or 176185 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Adding to 18213227220006 its reverse (60002272231281), we get a palindrome (78215499451287).

The spelling of 18213227220006 in words is "eighteen trillion, two hundred thirteen billion, two hundred twenty-seven million, two hundred twenty thousand, six".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 49 63 78 91 98 117 126 147 182 234 273 294 441 546 637 819 882 1274 1638 1911 3822 5733 9533 11466 19066 28599 57198 66731 85797 123929 133462 166627 171594 200193 247858 333254 371787 400386 467117 499881 600579 743574 867503 934234 999762 1115361 1166389 1201158 1401351 1499643 1735006 2166151 2230722 2332778 2602509 2802702 2999286 3499167 4204053 4332302 5205018 6072521 6498453 6998334 7807527 8164723 8408106 10497501 12145042 12996906 15163057 15615054 16329446 18217563 19495359 20995002 24494169 30326114 36435126 38990718 45489171 48988338 54652689 73482507 90978342 106141399 109305378 136467513 146965014 212282798 272935026 318424197 636848394 955272591 1588455191 1910545182 3176910382 4765365573 9530731146 11119186337 14296096719 20649917483 22238372674 28592193438 33357559011 41299834966 61949752449 66715118022 77834304359 100072677033 123899504898 144549422381 155668608718 185849257347 200145354066 233502913077 289098844762 371698514694 433648267143 467005826154 700508739231 867296534286 1011845956667 1300944801429 1401017478462 2023691913334 2601889602858 3035537870001 6071075740002 9106613610003 18213227220006