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4682323968 = 211372103151
BaseRepresentation
bin1000101110001011…
…01001100000000000
3110002022121200222020
410113011221200000
534042133331333
62052342241440
7224014045200
oct42705514000
913068550866
104682323968
111a93060333
12aa8126280
135980b23ca
14325c0a400
151c61053b3
hex117169800

4682323968 has 288 divisors, whose sum is σ = 14759297280. Its totient is φ = 1316044800.

The previous prime is 4682323897. The next prime is 4682323981. The reversal of 4682323968 is 8693232864.

It is a self number, because there is not a number n which added to its sum of digits gives 4682323968.

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 23 ways as a sum of consecutive naturals, for example, 31008693 + ... + 31008843.

It is an arithmetic number, because the mean of its divisors is an integer number (51247560).

Almost surely, 24682323968 is an apocalyptic number.

4682323968 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 4682323968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7379648640).

4682323968 is an abundant number, since it is smaller than the sum of its proper divisors (10076973312).

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

4682323968 is a wasteful number, since it uses less digits than its factorization.

4682323968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 266 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 51.

The square root of 4682323968 is about 68427.5088542612. The cubic root of 4682323968 is about 1672.9661471999.

The spelling of 4682323968 in words is "four billion, six hundred eighty-two million, three hundred twenty-three thousand, nine hundred sixty-eight".