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4840684416 = 2735198191
BaseRepresentation
bin1001000001000011…
…01111101110000000
3110111100121020200000
410200201233232000
534403203400131
62120200400000
7230646065361
oct44041575600
913440536600
104840684416
112064492937
12b31176000
135c1b4a809
1433cc6db68
151d4e86ce6
hex12086fb80

4840684416 has 192 divisors, whose sum is σ = 15207628800. Its totient is φ = 1528450560.

The previous prime is 4840684403. The next prime is 4840684423. The reversal of 4840684416 is 6144860484.

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

It is a super-2 number, since 2×48406844162 = 46864451230610522112, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 586881 + ... + 595071.

It is an arithmetic number, because the mean of its divisors is an integer number (79206400).

Almost surely, 24840684416 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 4840684416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7603814400).

4840684416 is an abundant number, since it is smaller than the sum of its proper divisors (10366944384).

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

4840684416 is an equidigital number, since it uses as much as digits as its factorization.

4840684416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8239 (or 8215 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The square root of 4840684416 is about 69575.0272439760. The cubic root of 4840684416 is about 1691.6178403545.

The spelling of 4840684416 in words is "four billion, eight hundred forty million, six hundred eighty-four thousand, four hundred sixteen".