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8478080640 = 2732510131453
BaseRepresentation
bin1111110010101010…
…10011111010000000
3210212212000010020200
413321111103322000
5114330342040030
63521134405200
7420044332161
oct77125237200
923785003220
108478080640
113660723517
121787360800
13a515c2283
145a5d95768
15349483d60
hex1f9553e80

8478080640 has 192 divisors, whose sum is σ = 29324940840. Its totient is φ = 2257035264.

The previous prime is 8478080627. The next prime is 8478080657. The reversal of 8478080640 is 460808748.

It can be written as a sum of positive squares in 4 ways, for example, as 6383370816 + 2094709824 = 79896^2 + 45768^2 .

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

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

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 23 ways as a sum of consecutive naturals, for example, 5834154 + ... + 5835606.

Almost surely, 28478080640 is an apocalyptic number.

8478080640 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 8478080640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14662470420).

8478080640 is an abundant number, since it is smaller than the sum of its proper divisors (20846860200).

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

8478080640 is a wasteful number, since it uses less digits than its factorization.

8478080640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2491 (or 2476 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 8478080640 is about 92076.4934171583. The cubic root of 8478080640 is about 2039.0717807144.

The spelling of 8478080640 in words is "eight billion, four hundred seventy-eight million, eighty thousand, six hundred forty".