Search a number
-
+
18918099409980 = 22354112915956843
BaseRepresentation
bin1000100110100101101101…
…00110000101110000111100
32110222112220212122000210210
410103102312212011300330
54434423231422104410
6104122504353432420
73661534065523311
oct423226646056074
973875825560723
1018918099409980
116034136a17711
12215655526b710
13a72c7a204114
144958d889ad08
1522c183378220
hex1134b6985c3c

18918099409980 has 96 divisors (see below), whose sum is σ = 54304686713088. Its totient is φ = 4917968755200.

The previous prime is 18918099409973. The next prime is 18918099409987. The reversal of 18918099409980 is 8990499081981.

It is an interprime number because it is at equal distance from previous prime (18918099409973) and next prime (18918099409987).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18918099409987) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 197439 + ... + 6154281.

It is an arithmetic number, because the mean of its divisors is an integer number (565673819928).

Almost surely, 218918099409980 is an apocalyptic number.

18918099409980 is a gapful number since it is divisible by the number (10) 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 18918099409980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27152343356544).

18918099409980 is an abundant number, since it is smaller than the sum of its proper divisors (35386587303108).

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

18918099409980 is a wasteful number, since it uses less digits than its factorization.

18918099409980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5958187 (or 5958185 counting only the distinct ones).

The product of its (nonzero) digits is 120932352, while the sum is 75.

The spelling of 18918099409980 in words is "eighteen trillion, nine hundred eighteen billion, ninety-nine million, four hundred nine thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 205 246 410 492 615 820 1230 1291 2460 2582 3873 5164 6455 7746 12910 15492 19365 25820 38730 52931 77460 105862 158793 211724 264655 317586 529310 635172 793965 1058620 1587930 3175860 5956843 11913686 17870529 23827372 29784215 35741058 59568430 71482116 89352645 119136860 178705290 244230563 357410580 488461126 732691689 976922252 1221152815 1465383378 2442305630 2930766756 3663458445 4884611260 7326916890 7690284313 14653833780 15380568626 23070852939 30761137252 38451421565 46141705878 76902843130 92283411756 115354264695 153805686260 230708529390 315301656833 461417058780 630603313666 945904970499 1261206627332 1576508284165 1891809940998 3153016568330 3783619881996 4729524852495 6306033136660 9459049704990 18918099409980