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4568784480 = 253351381353
BaseRepresentation
bin1000100000101001…
…00001111001100000
3102210101222022002000
410100110201321200
533324102100410
62033204524000
7221135012241
oct42024417140
912711868060
104568784480
111a34a61447
12a760b0600
1357a70ac90
14314ad2cc8
151bb178dc0
hex110521e60

4568784480 has 192 divisors, whose sum is σ = 17221014720. Its totient is φ = 1124610048.

The previous prime is 4568784397. The next prime is 4568784559. The reversal of 4568784480 is 844878654.

4568784480 is a `hidden beast` number, since 4 + 5 + 6 + 87 + 84 + 480 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15484 + ... + 96836.

It is an arithmetic number, because the mean of its divisors is an integer number (89692785).

Almost surely, 24568784480 is an apocalyptic number.

4568784480 is a gapful number since it is divisible by the number (40) 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 4568784480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8610507360).

4568784480 is an abundant number, since it is smaller than the sum of its proper divisors (12652230240).

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

4568784480 is a wasteful number, since it uses less digits than its factorization.

4568784480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81390 (or 81376 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 54.

The square root of 4568784480 is about 67592.7842302712. The cubic root of 4568784480 is about 1659.3330266762. Note that the first 3 decimals are identical.

The spelling of 4568784480 in words is "four billion, five hundred sixty-eight million, seven hundred eighty-four thousand, four hundred eighty".