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4686081984 = 2636472137
BaseRepresentation
bin1000101110100111…
…11110111111000000
3110002120200122000000
410113103332333000
534044114110414
62052555000000
7224061016413
oct42723767700
913076618000
104686081984
111a95197831
12aa9439000
13598ac9a9c
14326507b7a
151c65e8b09
hex1174fefc0

4686081984 has 196 divisors, whose sum is σ = 14245340064. Its totient is φ = 1528077312.

The previous prime is 4686081971. The next prime is 4686081989. The reversal of 4686081984 is 4891806864.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 4686081984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4686081989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2191764 + ... + 2193900.

Almost surely, 24686081984 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 4686081984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7122670032).

4686081984 is an abundant number, since it is smaller than the sum of its proper divisors (9559258080).

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

4686081984 is an equidigital number, since it uses as much as digits as its factorization.

4686081984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2214 (or 2189 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The square root of 4686081984 is about 68454.9631801815. The cubic root of 4686081984 is about 1673.4135996728.

The spelling of 4686081984 in words is "four billion, six hundred eighty-six million, eighty-one thousand, nine hundred eighty-four".