Search a number
-
+
18201119040 = 26335131311237
BaseRepresentation
bin10000111100110111…
…110000100101000000
31201222110121122111000
4100330313300211000
5244233441302130
612210025052000
71213016646666
oct207467604500
951873548430
1018201119040
1177a006a145
12363b627000
131940aba030
14c49420c36
15717d84260
hex43cdf0940

18201119040 has 448 divisors, whose sum is σ = 69732875520. Its totient is φ = 4442480640.

The previous prime is 18201119017. The next prime is 18201119051. The reversal of 18201119040 is 4091110281.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 18201118995 and 18201119013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14713302 + ... + 14714538.

It is an arithmetic number, because the mean of its divisors is an integer number (155653740).

Almost surely, 218201119040 is an apocalyptic number.

18201119040 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 18201119040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34866437760).

18201119040 is an abundant number, since it is smaller than the sum of its proper divisors (51531756480).

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

18201119040 is a wasteful number, since it uses less digits than its factorization.

18201119040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1407 (or 1391 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The spelling of 18201119040 in words is "eighteen billion, two hundred one million, one hundred nineteen thousand, forty".