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6482254320 = 2432519613773
BaseRepresentation
bin1100000100101111…
…10101100111110000
3121201202111122020100
412002113311213300
5101233424114240
62551121112400
7316431152433
oct60227654760
917652448210
106482254320
112827077683
12130aa88700
137c3c79859
14456ca581a
1527e147e30
hex1825f59f0

6482254320 has 240 divisors, whose sum is σ = 22982412960. Its totient is φ = 1632835584.

The previous prime is 6482254279. The next prime is 6482254333. The reversal of 6482254320 is 234522846.

6482254320 is a `hidden beast` number, since 6 + 4 + 82 + 254 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 8385454 + ... + 8386226.

It is an arithmetic number, because the mean of its divisors is an integer number (95760054).

Almost surely, 26482254320 is an apocalyptic number.

6482254320 is a gapful number since it is divisible by the number (60) 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 6482254320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11491206480).

6482254320 is an abundant number, since it is smaller than the sum of its proper divisors (16500158640).

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

6482254320 is a wasteful number, since it uses less digits than its factorization.

6482254320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1424 (or 1415 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 6482254320 is about 80512.4482300719. The cubic root of 6482254320 is about 1864.5556728394. Note that the first 3 decimals are identical.

The spelling of 6482254320 in words is "six billion, four hundred eighty-two million, two hundred fifty-four thousand, three hundred twenty".