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4808014848 = 2103473132
BaseRepresentation
bin1000111101001010…
…00111110000000000
3110102002010110110000
410132211013300000
534321322433343
62113032240000
7230101311000
oct43645076000
913362113400
104808014848
112047aa979a
12b22240000
135b814c700
143387a8000
151d2181ed3
hex11e947c00

4808014848 has 660 divisors, whose sum is σ = 18130688400. Its totient is φ = 1268047872.

The previous prime is 4808014831. The next prime is 4808014859. The reversal of 4808014848 is 8484108084.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

4808014848 is a `hidden beast` number, since 480 + 80 + 14 + 84 + 8 = 666.

It is a super-3 number, since 3×48080148483 (a number of 30 digits) contains 333 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 59 ways as a sum of consecutive naturals, for example, 369847290 + ... + 369847302.

It is an arithmetic number, because the mean of its divisors is an integer number (27470740).

Almost surely, 24808014848 is an apocalyptic number.

4808014848 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 4808014848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9065344200).

4808014848 is an abundant number, since it is smaller than the sum of its proper divisors (13322673552).

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

4808014848 is an equidigital number, since it uses as much as digits as its factorization.

4808014848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 45.

The square root of 4808014848 is about 69339.8503603808. The cubic root of 4808014848 is about 1687.8036952673.

The spelling of 4808014848 in words is "four billion, eight hundred eight million, fourteen thousand, eight hundred forty-eight".