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4868858880 = 210325157673
BaseRepresentation
bin1001000100011010…
…01110010000000000
3110120022121122202200
410202031032100000
534432411441010
62123044313200
7231440421564
oct44215162000
913508548680
104868858880
112079386816
12b3a6a2800
135c79338b2
143428c56a4
151d769ecc0
hex12234e400

4868858880 has 264 divisors, whose sum is σ = 17003151672. Its totient is φ = 1288175616.

The previous prime is 4868858873. The next prime is 4868858887. The reversal of 4868858880 is 888588684.

4868858880 is a `hidden beast` number, since 48 + 6 + 8 + 8 + 588 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4868858873) and next prime (4868858887).

It can be written as a sum of positive squares in 4 ways, for example, as 78004224 + 4790854656 = 8832^2 + 69216^2 .

It is not an unprimeable number, because it can be changed into a prime (4868858887) 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, 7234224 + ... + 7234896.

Almost surely, 24868858880 is an apocalyptic number.

4868858880 is a gapful number since it is divisible by the number (40) 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 4868858880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8501575836).

4868858880 is an abundant number, since it is smaller than the sum of its proper divisors (12134292792).

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

4868858880 is a wasteful number, since it uses less digits than its factorization.

4868858880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 31457280, while the sum is 63.

The square root of 4868858880 is about 69777.2088865698. The cubic root of 4868858880 is about 1694.8934279198.

The spelling of 4868858880 in words is "four billion, eight hundred sixty-eight million, eight hundred fifty-eight thousand, eight hundred eighty".