Search a number
-
+
20181543120 = 24335192931547
BaseRepresentation
bin10010110010111010…
…011110100011010000
31221002111010121121000
4102302322132203100
5312312433334440
613134332302000
71313055200064
oct226272364320
957074117530
1020181543120
118616a56062
123ab2911900
131b9819bcbb
14d96461aa4
157d1b7b730
hex4b2e9e8d0

20181543120 has 640 divisors, whose sum is σ = 78280704000. Its totient is φ = 4755179520.

The previous prime is 20181543029. The next prime is 20181543157. The reversal of 20181543120 is 2134518102.

20181543120 is a `hidden beast` number, since 20 + 1 + 81 + 543 + 1 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 36894687 + ... + 36895233.

It is an arithmetic number, because the mean of its divisors is an integer number (122313600).

Almost surely, 220181543120 is an apocalyptic number.

20181543120 is a gapful number since it is divisible by the number (20) 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 20181543120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39140352000).

20181543120 is an abundant number, since it is smaller than the sum of its proper divisors (58099160880).

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

20181543120 is a wasteful number, since it uses less digits than its factorization.

20181543120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 20181543120 in words is "twenty billion, one hundred eighty-one million, five hundred forty-three thousand, one hundred twenty".