Search a number
-
+
18983922048 = 273571319353
BaseRepresentation
bin10001101011100001…
…111010100110000000
31211000000121011100000
4101223201322212000
5302334341001143
612415431200000
71241303450340
oct215341724600
954000534300
1018983922048
118061a24683
123819816000
131a3702b590
14cc1390d20
15761960bd3
hex46b87a980

18983922048 has 768 divisors, whose sum is σ = 73602547200. Its totient is φ = 4729798656.

The previous prime is 18983922017. The next prime is 18983922059. The reversal of 18983922048 is 84022938981.

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

It is a junction number, because it is equal to n+sod(n) for n = 18983921985 and 18983922003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 53778640 + ... + 53778992.

It is an arithmetic number, because the mean of its divisors is an integer number (95836650).

Almost surely, 218983922048 is an apocalyptic number.

18983922048 is a gapful number since it is divisible by the number (18) 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 18983922048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36801273600).

18983922048 is an abundant number, since it is smaller than the sum of its proper divisors (54618625152).

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

18983922048 is a wasteful number, since it uses less digits than its factorization.

18983922048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 397 counting only the distinct ones).

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

The spelling of 18983922048 in words is "eighteen billion, nine hundred eighty-three million, nine hundred twenty-two thousand, forty-eight".