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8483125248 = 211331311801
BaseRepresentation
bin1111110011010001…
…00011100000000000
3210220012111102011000
413321220203200000
5114333140001443
63521434452000
7420135242403
oct77150434000
923805442130
108483125248
113663559614
121788b94000
13a5266a450
145a6909d3a
15349b2d8d3
hex1f9a23800

8483125248 has 192 divisors, whose sum is σ = 27064346400. Its totient is φ = 2609971200.

The previous prime is 8483125241. The next prime is 8483125253. The reversal of 8483125248 is 8425213848.

8483125248 is a `hidden beast` number, since 8 + 483 + 125 + 2 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8483125241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 712948 + ... + 724748.

Almost surely, 28483125248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8483125248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13532173200).

8483125248 is an abundant number, since it is smaller than the sum of its proper divisors (18581221152).

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

8483125248 is a wasteful number, since it uses less digits than its factorization.

8483125248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11845 (or 11819 counting only the distinct ones).

The product of its digits is 491520, while the sum is 45.

The square root of 8483125248 is about 92103.8829148913. The cubic root of 8483125248 is about 2039.4761284572.

The spelling of 8483125248 in words is "eight billion, four hundred eighty-three million, one hundred twenty-five thousand, two hundred forty-eight".