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1818103903812 = 22327191153329333
BaseRepresentation
bin11010011101001111011…
…011111111011001000100
320102210211210020202201200
4122131033123333121010
5214241434044410222
63511120404222500
7245232211124520
oct32351733773104
96383753222650
101818103903812
1164106528a569
1225443b39aa30
131025a5b55121
1463dd4d24d80
153245e0d7eac
hex1a74f6ff644

1818103903812 has 144 divisors (see below), whose sum is σ = 5533548908160. Its totient is φ = 491690041344.

The previous prime is 1818103903757. The next prime is 1818103903853. The reversal of 1818103903812 is 2183093018181.

1818103903812 is a `hidden beast` number, since 1 + 8 + 181 + 0 + 3 + 90 + 381 + 2 = 666.

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, 5355898 + ... + 5685230.

Almost surely, 21818103903812 is an apocalyptic number.

1818103903812 is a gapful number since it is divisible by the number (12) 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 1818103903812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2766774454080).

1818103903812 is an abundant number, since it is smaller than the sum of its proper divisors (3715445004348).

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

1818103903812 is a wasteful number, since it uses less digits than its factorization.

1818103903812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330522 (or 330517 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The spelling of 1818103903812 in words is "one trillion, eight hundred eighteen billion, one hundred three million, nine hundred three thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 57 63 76 84 114 126 133 171 228 252 266 342 399 532 684 798 1153 1197 1596 2306 2394 3459 4612 4788 6918 8071 10377 13836 16142 20754 21907 24213 32284 41508 43814 48426 65721 72639 87628 96852 131442 145278 153349 197163 262884 290556 306698 329333 394326 460047 613396 658666 788652 920094 987999 1317332 1380141 1840188 1975998 2305331 2760282 2963997 3951996 4610662 5520564 5927994 6257327 6915993 9221324 11855988 12514654 13831986 18771981 20747979 25029308 27663972 37543962 41495958 43801289 56315943 75087924 82991916 87602578 112631886 131403867 175205156 225263772 262807734 379720949 394211601 525615468 759441898 788423202 1139162847 1518883796 1576846404 2278325694 2658046643 3417488541 4556651388 5316093286 6834977082 7214698031 7974139929 10632186572 13669954164 14429396062 15948279858 21644094093 23922419787 28858792124 31896559716 43288188186 47844839574 50502886217 64932282279 86576376372 95689679148 101005772434 129864564558 151508658651 202011544868 259729129116 303017317302 454525975953 606034634604 909051951906 1818103903812