Search a number
-
+
18077148144 = 24321129974057
BaseRepresentation
bin10000110101011110…
…110110001111110000
31201122211100021101100
4100311132312033300
5244010222220034
612145440004400
71206653136546
oct206536661760
951584307340
1018077148144
117737095a60
123606000700
131921202883
14c36b8dd96
1570c047099
hex4357b63f0

18077148144 has 240 divisors, whose sum is σ = 57695994720. Its totient is φ = 5233213440.

The previous prime is 18077148143. The next prime is 18077148181. The reversal of 18077148144 is 44184177081.

It is a self number, because there is not a number n which added to its sum of digits gives 18077148144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18077148143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4453764 + ... + 4457820.

It is an arithmetic number, because the mean of its divisors is an integer number (240399978).

Almost surely, 218077148144 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 18077148144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28847997360).

18077148144 is an abundant number, since it is smaller than the sum of its proper divisors (39618846576).

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

18077148144 is a wasteful number, since it uses less digits than its factorization.

18077148144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4208 (or 4199 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 45.

The spelling of 18077148144 in words is "eighteen billion, seventy-seven million, one hundred forty-eight thousand, one hundred forty-four".