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18401807116 = 227211192112129
BaseRepresentation
bin10001001000110101…
…010100101100001100
31202111110020122202201
4101020311110230030
5300141330311431
612241554331244
71221004531300
oct211065245414
952443218681
1018401807116
117893382060
123696889b24
131973555584
14c67d41d00
1572a7c7461
hex448d54b0c

18401807116 has 144 divisors (see below), whose sum is σ = 43241385600. Its totient is φ = 6756825600.

The previous prime is 18401807107. The next prime is 18401807119. The reversal of 18401807116 is 61170810481.

It is not an unprimeable number, because it can be changed into a prime (18401807119) 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, 8642340 + ... + 8644468.

It is an arithmetic number, because the mean of its divisors is an integer number (300287400).

Almost surely, 218401807116 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 18401807116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21620692800).

18401807116 is an abundant number, since it is smaller than the sum of its proper divisors (24839578484).

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

18401807116 is a wasteful number, since it uses less digits than its factorization.

18401807116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2388 (or 2379 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 37.

The spelling of 18401807116 in words is "eighteen billion, four hundred one million, eight hundred seven thousand, one hundred sixteen".

Divisors: 1 2 4 7 11 14 19 22 28 38 44 49 76 77 98 133 154 196 209 211 266 308 418 422 532 539 836 844 931 1078 1463 1477 1862 2129 2156 2321 2926 2954 3724 4009 4258 4642 5852 5908 8018 8516 9284 10241 10339 14903 16036 16247 20482 20678 23419 28063 29806 32494 40451 40964 41356 44099 46838 56126 59612 64988 80902 88198 93676 104321 112252 113729 161804 163933 176396 196441 208642 227458 283157 308693 327866 392882 417284 444961 449219 454916 566314 617386 655732 785764 889922 898438 1132628 1147531 1234772 1779844 1796876 1982099 2160851 2295062 3114727 3144533 3964198 4321702 4590124 4941409 6229454 6289066 7928396 8535161 8643404 9882818 12458908 12578132 17070322 19765636 21803089 22011731 34140644 34589863 43606178 44023462 59746127 69179726 87212356 88046924 93886771 119492254 138359452 187773542 238984508 242129041 375547084 418222889 484258082 657207397 836445778 968516164 1314414794 1672891556 2628829588 4600451779 9200903558 18401807116