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19980198180036 = 2232731372405073
BaseRepresentation
bin1001000101100000000001…
…00111010111010011000100
32121202002101100211211022100
410202300000213113103010
510104323421213230121
6110254435404232100
74131343636232223
oct442600047272304
977662340754270
1019980198180036
116403610a98676
1222a8367b3b630
13b1c1809a6bc3
144d1092402cba
15249ae6715026
hex122c009d74c4

19980198180036 has 108 divisors (see below), whose sum is σ = 51573915550612. Its totient is φ = 6520868499456.

The previous prime is 19980198180023. The next prime is 19980198180037. The reversal of 19980198180036 is 63008189108991.

19980198180036 is a `hidden beast` number, since 199 + 80 + 198 + 180 + 0 + 3 + 6 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 23482497600 + 19956715682436 = 153240^2 + 4467294^2 .

It is a super-2 number, since 2×199801981800362 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (19980198180037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 49122396 + ... + 49527468.

Almost surely, 219980198180036 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 19980198180036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25786957775306).

19980198180036 is an abundant number, since it is smaller than the sum of its proper divisors (31593717370576).

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

19980198180036 is a wasteful number, since it uses less digits than its factorization.

19980198180036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405430 (or 405288 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 63.

The spelling of 19980198180036 in words is "nineteen trillion, nine hundred eighty billion, one hundred ninety-eight million, one hundred eighty thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 73 137 146 219 274 292 411 438 548 657 822 876 1233 1314 1644 2466 2628 4932 10001 18769 20002 30003 37538 40004 56307 60006 75076 90009 112614 120012 168921 180018 225228 337842 360036 405073 675684 810146 1215219 1370137 1620292 2430438 2740274 3645657 4110411 4860876 5480548 7291314 8220822 12331233 14582628 16441644 24662466 29570329 49324932 55495001 59140658 88710987 110990002 118281316 166485003 177421974 221980004 266132961 332970006 354843948 499455009 532265922 665940012 998910018 1064531844 1997820036 4051135073 7602815137 8102270146 12153405219 15205630274 16204540292 22808445411 24306810438 30411260548 36460215657 45616890822 48613620876 68425336233 72920431314 91233781644 136850672466 145840862628 273701344932 555005505001 1110011010002 1665016515003 2220022020004 3330033030006 4995049545009 6660066060012 9990099090018 19980198180036