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5482681344 = 21034721971
BaseRepresentation
bin1010001101100101…
…10001010000000000
3112011002122001220000
411012302301100000
542212031300334
62304012520000
7252603010500
oct50662612000
915132561800
105482681344
112363915708
121090180000
13694b5bb5a
143a0229a00
152214ed299
hex146cb1400

5482681344 has 660 divisors, whose sum is σ = 20330148960. Its totient is φ = 1463132160.

The previous prime is 5482681343. The next prime is 5482681357. The reversal of 5482681344 is 4431862845.

5482681344 is a `hidden beast` number, since 5 + 48 + 268 + 1 + 344 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 5482681344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5482681343) 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 59 ways as a sum of consecutive naturals, for example, 77220829 + ... + 77220899.

It is an arithmetic number, because the mean of its divisors is an integer number (30803256).

Almost surely, 25482681344 is an apocalyptic number.

5482681344 is a gapful number since it is divisible by the number (54) 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 5482681344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10165074480).

5482681344 is an abundant number, since it is smaller than the sum of its proper divisors (14847467616).

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

5482681344 is a wasteful number, since it uses less digits than its factorization.

5482681344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 102 counting only the distinct ones).

The product of its digits is 737280, while the sum is 45.

The square root of 5482681344 is about 74045.1304543385. The cubic root of 5482681344 is about 1763.3194653811.

The spelling of 5482681344 in words is "five billion, four hundred eighty-two million, six hundred eighty-one thousand, three hundred forty-four".