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4861434942 = 2337213314797
BaseRepresentation
bin1001000011100001…
…11001110000111110
3110112210122111001000
410201300321300332
534424011404232
62122221231130
7231320341500
oct44160716076
913483574030
104861434942
112075176031
12b381024a6
135c6234730
14341911d70
151d6bd527c
hex121c39c3e

4861434942 has 384 divisors, whose sum is σ = 14414561280. Its totient is φ = 1201858560.

The previous prime is 4861434913. The next prime is 4861434959. The reversal of 4861434942 is 2494341684.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 50117838 + ... + 50117934.

It is an arithmetic number, because the mean of its divisors is an integer number (37537920).

Almost surely, 24861434942 is an apocalyptic number.

4861434942 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4861434942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7207280640).

4861434942 is an abundant number, since it is smaller than the sum of its proper divisors (9553126338).

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

4861434942 is a wasteful number, since it uses less digits than its factorization.

4861434942 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 200 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 4861434942 is about 69723.9911508227. The cubic root of 4861434942 is about 1694.0315432507.

The spelling of 4861434942 in words is "four billion, eight hundred sixty-one million, four hundred thirty-four thousand, nine hundred forty-two".