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4862198016 = 283413171061
BaseRepresentation
bin1001000011100111…
…10100000100000000
3110112212002020210000
410201303310010000
534424210314031
62122245440000
7231330000264
oct44163640400
913485066700
104862198016
112075647375
12b38410000
135c6440b60
14341a700a4
151d6cd63e6
hex121cf4100

4862198016 has 360 divisors, whose sum is σ = 16547459544. Its totient is φ = 1406730240.

The previous prime is 4862197997. The next prime is 4862198093. The reversal of 4862198016 is 6108912684.

4862198016 is a `hidden beast` number, since 4 + 8 + 621 + 9 + 8 + 0 + 16 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 829440000 + 4032758016 = 28800^2 + 63504^2 .

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 39 ways as a sum of consecutive naturals, for example, 4582126 + ... + 4583186.

Almost surely, 24862198016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4862198016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8273729772).

4862198016 is an abundant number, since it is smaller than the sum of its proper divisors (11685261528).

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

4862198016 is a wasteful number, since it uses less digits than its factorization.

4862198016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1119 (or 1096 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 4862198016 is about 69729.4630410991. The cubic root of 4862198016 is about 1694.1201730354.

The spelling of 4862198016 in words is "four billion, eight hundred sixty-two million, one hundred ninety-eight thousand, sixteen".