Search a number
-
+
181451349870336 = 283672133153929
BaseRepresentation
bin101001010000011101101111…
…010000001100011100000000
3212210110120122120000001000000
4221100131233100030130000
5142240344331031322321
61441525333244000000
753135266413523500
oct5120355720143400
9783416576001000
10181451349870336
11528a80a3636177
12184265a1b30000
137a32a341cb090
1432b4413ac5a00
1515e9e7549e826
hexa5076f40c700

181451349870336 has 3024 divisors, whose sum is σ = 716259903932160. Its totient is φ = 45388867829760.

The previous prime is 181451349870251. The next prime is 181451349870353. The reversal of 181451349870336 is 633078943154181.

181451349870336 is a `hidden beast` number, since 1 + 8 + 1 + 4 + 513 + 4 + 9 + 87 + 0 + 3 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (3024).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

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 335 ways as a sum of consecutive naturals, for example, 195318998320 + ... + 195318999248.

It is an arithmetic number, because the mean of its divisors is an integer number (236858433840).

Almost surely, 2181451349870336 is an apocalyptic number.

181451349870336 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 181451349870336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358129951966080).

181451349870336 is an abundant number, since it is smaller than the sum of its proper divisors (534808554061824).

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

181451349870336 is an equidigital number, since it uses as much as digits as its factorization.

181451349870336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1074 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 181451349870336 in words is "one hundred eighty-one trillion, four hundred fifty-one billion, three hundred forty-nine million, eight hundred seventy thousand, three hundred thirty-six".