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8478008748 = 22331122367421
BaseRepresentation
bin1111110010101010…
…00010010110101100
3210212211212110122000
413321111002112230
5114330332234443
63521133052300
7420043612446
oct77125022654
923784773560
108478008748
113660684500
121787327090
13a51598631
145a5d77496
1534946c8d3
hex1f95425ac

8478008748 has 288 divisors, whose sum is σ = 25647336960. Its totient is φ = 2414966400.

The previous prime is 8478008731. The next prime is 8478008807.

It is a happy number.

8478008748 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 8478008694 and 8478008703.

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 95 ways as a sum of consecutive naturals, for example, 20137578 + ... + 20137998.

Almost surely, 28478008748 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 8478008748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12823668480).

8478008748 is an abundant number, since it is smaller than the sum of its proper divisors (17169328212).

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

8478008748 is a wasteful number, since it uses less digits than its factorization.

8478008748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 3211264, while the sum is 54.

The square root of 8478008748 is about 92076.1030235316. The cubic root of 8478008748 is about 2039.0660170921.

The spelling of 8478008748 in words is "eight billion, four hundred seventy-eight million, eight thousand, seven hundred forty-eight".