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2099488640 = 27529314189
BaseRepresentation
bin111110100100011…
…1010011110000000
312102022120001222112
41331020322132000
513244432114030
6544155154452
7103012234064
oct17510723600
95368501875
102099488640
11988119987
124a7145a28
13275c6c192
1415cb95aa4
15c44b5a95
hex7d23a780

2099488640 has 256 divisors, whose sum is σ = 5552064000. Its totient is φ = 756940800.

The previous prime is 2099488639. The next prime is 2099488649. The reversal of 2099488640 is 468849902.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2099488649) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23589716 + ... + 23589804.

It is an arithmetic number, because the mean of its divisors is an integer number (21687750).

Almost surely, 22099488640 is an apocalyptic number.

2099488640 is a gapful number since it is divisible by the number (20) 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 2099488640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2776032000).

2099488640 is an abundant number, since it is smaller than the sum of its proper divisors (3452575360).

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

2099488640 is a wasteful number, since it uses less digits than its factorization.

2099488640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 50.

The square root of 2099488640 is about 45820.1772148472. The cubic root of 2099488640 is about 1280.4752141746.

It can be divided in two parts, 209 and 9488640, that added together give a palindrome (9488849).

The spelling of 2099488640 in words is "two billion, ninety-nine million, four hundred eighty-eight thousand, six hundred forty".