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4678922880 = 27345432099
BaseRepresentation
bin1000101101110001…
…01011001010000000
3110002002012220120000
410112320223022000
534040301013010
62052141320000
7223643121402
oct42670531200
913062186500
104678922880
111a91148015
12aa6b66000
13597491328
143255a2b72
151c5b827c0
hex116e2b280

4678922880 has 320 divisors, whose sum is σ = 17106012000. Its totient is φ = 1218115584.

The previous prime is 4678922849. The next prime is 4678922887. The reversal of 4678922880 is 882298764.

4678922880 is a `hidden beast` number, since 467 + 89 + 2 + 28 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is not an unprimeable number, because it can be changed into a prime (4678922887) 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 39 ways as a sum of consecutive naturals, for example, 2228071 + ... + 2230169.

Almost surely, 24678922880 is an apocalyptic number.

4678922880 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 4678922880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8553006000).

4678922880 is an abundant number, since it is smaller than the sum of its proper divisors (12427089120).

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

4678922880 is a wasteful number, since it uses less digits than its factorization.

4678922880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2173 (or 2152 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The square root of 4678922880 is about 68402.6525801449. The cubic root of 4678922880 is about 1672.5609863341.

The spelling of 4678922880 in words is "four billion, six hundred seventy-eight million, nine hundred twenty-two thousand, eight hundred eighty".