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18016683016806 = 23329831311058117
BaseRepresentation
bin1000001100010110101011…
…11111011100001001100110
32100210101012121122201102000
410012023111333130021212
54330141131323014211
6102152425552030130
73536443125562515
oct406132577341146
970711177581360
1018016683016806
115816917961751
12202b906832346
13a08c73179a56
1446402533667c
152139c6819656
hex1062d5fdc266

18016683016806 has 128 divisors (see below), whose sum is σ = 42236684582400. Its totient is φ = 5684876346240.

The previous prime is 18016683016769. The next prime is 18016683016861. The reversal of 18016683016806 is 60861038661081.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16498060 + ... + 17556176.

It is an arithmetic number, because the mean of its divisors is an integer number (329974098300).

Almost surely, 218016683016806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18016683016806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21118342291200).

18016683016806 is an abundant number, since it is smaller than the sum of its proper divisors (24220001565594).

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

18016683016806 is a wasteful number, since it uses less digits than its factorization.

18016683016806 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1058371 (or 1058365 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 18016683016806 in words is "eighteen trillion, sixteen billion, six hundred eighty-three million, sixteen thousand, eight hundred six".

Divisors: 1 2 3 6 9 18 27 29 54 58 83 87 131 166 174 249 261 262 393 498 522 747 783 786 1179 1494 1566 2241 2358 2407 3537 3799 4482 4814 7074 7221 7598 10873 11397 14442 21663 21746 22794 32619 34191 43326 64989 65238 68382 97857 102573 129978 195714 205146 293571 315317 587142 630634 945951 1058117 1891902 2116234 2837853 3174351 5675706 6348702 8513559 9523053 17027118 19046106 28569159 30685393 57138318 61370786 87823711 92056179 138613327 175647422 184112358 263471133 276168537 277226654 415839981 526942266 552337074 790413399 828505611 831679962 1247519943 1580826798 1657011222 2371240197 2495039886 2546887619 3742559829 4019786483 4742480394 5093775238 7485119658 7640662857 8039572966 11504906141 12059359449 15281325714 22921988571 23009812282 24118718898 34514718423 36178078347 45843977142 68765965713 69029436846 72356156694 103544155269 108534235041 137531931426 207088310538 217068470082 310632465807 333642278089 621264931614 667284556178 1000926834267 2001853668534 3002780502801 6005561005602 9008341508403 18016683016806