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4968863328 = 25311132315737
BaseRepresentation
bin1001010000010101…
…01101011001100000
3110211021210102002010
410220022231121200
540134012111303
62141015552520
7234063433002
oct45012553140
913737712063
104968863328
11211a880620
12b6808b740
13612579420
14351cb8372
151e1355c03
hex1282ad660

4968863328 has 192 divisors, whose sum is σ = 15990815232. Its totient is φ = 1329377280.

The previous prime is 4968863243. The next prime is 4968863329. The reversal of 4968863328 is 8233688694.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4968863329) 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 31 ways as a sum of consecutive naturals, for example, 307876 + ... + 323612.

It is an arithmetic number, because the mean of its divisors is an integer number (83285496).

Almost surely, 24968863328 is an apocalyptic number.

4968863328 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 4968863328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7995407616).

4968863328 is an abundant number, since it is smaller than the sum of its proper divisors (11021951904).

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

4968863328 is a wasteful number, since it uses less digits than its factorization.

4968863328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15797 (or 15789 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 57.

The square root of 4968863328 is about 70490.1647607664. The cubic root of 4968863328 is about 1706.4190223629.

The spelling of 4968863328 in words is "four billion, nine hundred sixty-eight million, eight hundred sixty-three thousand, three hundred twenty-eight".