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8716483440 = 2433571733911
BaseRepresentation
bin10000001111000101…
…01111101101110000
3211111110121020102000
420013202233231300
5120322404432230
64000532254000
7426000613110
oct100742575560
924443536360
108716483440
113773256025
121833171300
13a8bb04112
145c98d3040
15360376b60
hex2078afb70

8716483440 has 320 divisors, whose sum is σ = 36331960320. Its totient is φ = 1875087360.

The previous prime is 8716483429. The next prime is 8716483441. The reversal of 8716483440 is 443846178.

8716483440 is a `hidden beast` number, since 8 + 71 + 64 + 83 + 440 = 666.

8716483440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8716483441) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 240085 + ... + 273995.

It is an arithmetic number, because the mean of its divisors is an integer number (113537376).

Almost surely, 28716483440 is an apocalyptic number.

8716483440 is a gapful number since it is divisible by the number (80) 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 8716483440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18165980160).

8716483440 is an abundant number, since it is smaller than the sum of its proper divisors (27615476880).

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

8716483440 is a wasteful number, since it uses less digits than its factorization.

8716483440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33957 (or 33945 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 8716483440 is about 93362.1092306724. The cubic root of 8716483440 is about 2058.0082108318.

The spelling of 8716483440 in words is "eight billion, seven hundred sixteen million, four hundred eighty-three thousand, four hundred forty".