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18147193344 = 2935767311
BaseRepresentation
bin10000111001101010…
…000011001000000000
31201211201010221100000
4100321222003020000
5244131140141334
612200421200000
71211463412140
oct207152031000
951751127300
1018147193344
117772687a55
123625560000
131932888b37
14c421c4920
15713281299
hex439a83200

18147193344 has 480 divisors, whose sum is σ = 63201954816. Its totient is φ = 5091102720.

The previous prime is 18147193343. The next prime is 18147193357. The reversal of 18147193344 is 44339174181.

It is a happy number.

18147193344 is a `hidden beast` number, since 1 + 81 + 47 + 193 + 344 = 666.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 18147193344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18147193343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58350949 + ... + 58351259.

Almost surely, 218147193344 is an apocalyptic number.

18147193344 is a gapful number since it is divisible by the number (14) 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 18147193344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31600977408).

18147193344 is an abundant number, since it is smaller than the sum of its proper divisors (45054761472).

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

18147193344 is an frugal number, since it uses more digits than its factorization.

18147193344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 390 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The spelling of 18147193344 in words is "eighteen billion, one hundred forty-seven million, one hundred ninety-three thousand, three hundred forty-four".