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4468606848 = 273231157797
BaseRepresentation
bin1000010100101100…
…11000011110000000
3102112102110202012100
410022112120132000
533122430404343
62015225430400
7215510350206
oct41226303600
912472422170
104468606848
111993459512
12a4863b400
13562a34684
14305697076
151b248b9d3
hex10a598780

4468606848 has 192 divisors, whose sum is σ = 13374990720. Its totient is φ = 1430507520.

The previous prime is 4468606847. The next prime is 4468606853. The reversal of 4468606848 is 8486068644.

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

It is a junction number, because it is equal to n+sod(n) for n = 4468606794 and 4468606803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4468606847) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5606386 + ... + 5607182.

It is an arithmetic number, because the mean of its divisors is an integer number (69661410).

Almost surely, 24468606848 is an apocalyptic number.

4468606848 is a gapful number since it is divisible by the number (48) 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 4468606848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6687495360).

4468606848 is an abundant number, since it is smaller than the sum of its proper divisors (8906383872).

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

4468606848 is a wasteful number, since it uses less digits than its factorization.

4468606848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1005 (or 990 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

The square root of 4468606848 is about 66847.6390607776. The cubic root of 4468606848 is about 1647.1154803496.

The spelling of 4468606848 in words is "four billion, four hundred sixty-eight million, six hundred six thousand, eight hundred forty-eight".