Search a number
-
+
18047138256 = 2434721773229
BaseRepresentation
bin10000110011101100…
…010111100111010000
31201120201212121120000
4100303230113213100
5243430031411011
612142444450000
71206140100300
oct206354274720
951521777500
1018047138256
1177211590a4
1235b7b49900
131917c26244
14c32bbb600
157095ba356
hex433b179d0

18047138256 has 600 divisors, whose sum is σ = 65501912520. Its totient is φ = 4765630464.

The previous prime is 18047138191. The next prime is 18047138261. The reversal of 18047138256 is 65283174081.

18047138256 is a `hidden beast` number, since 180 + 47 + 1 + 382 + 56 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9908211600 + 8138926656 = 99540^2 + 90216^2 .

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 119 ways as a sum of consecutive naturals, for example, 78808350 + ... + 78808578.

Almost surely, 218047138256 is an apocalyptic number.

18047138256 is a gapful number since it is divisible by the number (16) 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 18047138256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32750956260).

18047138256 is an abundant number, since it is smaller than the sum of its proper divisors (47454774264).

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

18047138256 is a wasteful number, since it uses less digits than its factorization.

18047138256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 18047138256 in words is "eighteen billion, forty-seven million, one hundred thirty-eight thousand, two hundred fifty-six".