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243054258048 = 27327291516883
BaseRepresentation
bin1110001001011100101…
…0011010011110000000
3212020100212110121101100
43202113022122132000
512440233342224143
6303354012134400
723363053051140
oct3422712323600
9766325417340
10243054258048
1194095879548
123b132467400
1319bc60a2504
14ba9a17a920
1564c816b6d3
hex389729a780

243054258048 has 384 divisors, whose sum is σ = 832490380800. Its totient is φ = 66595737600.

The previous prime is 243054257989. The next prime is 243054258119. The reversal of 243054258048 is 840852450342.

243054258048 is a `hidden beast` number, since 24 + 3 + 0 + 5 + 4 + 2 + 580 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 243054257994 and 243054258012.

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 47 ways as a sum of consecutive naturals, for example, 35308815 + ... + 35315697.

It is an arithmetic number, because the mean of its divisors is an integer number (2167943700).

Almost surely, 2243054258048 is an apocalyptic number.

243054258048 is a gapful number since it is divisible by the number (28) 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 243054258048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416245190400).

243054258048 is an abundant number, since it is smaller than the sum of its proper divisors (589436122752).

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

243054258048 is a wasteful number, since it uses less digits than its factorization.

243054258048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7090 (or 7075 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 45.

The spelling of 243054258048 in words is "two hundred forty-three billion, fifty-four million, two hundred fifty-eight thousand, forty-eight".