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2096116800 = 263524110651
BaseRepresentation
bin111110011110000…
…0011010001000000
312102002012202200120
41330330003101000
513243101214200
6543555020240
7102641461461
oct17474032100
95362182616
102096116800
11986226638
124a5b9a680
1327535b4cb
1415c558d68
15c404b9a0
hex7cf03440

2096116800 has 168 divisors, whose sum is σ = 7045403232. Its totient is φ = 545280000.

The previous prime is 2096116733. The next prime is 2096116811. The reversal of 2096116800 is 86116902.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 191475 + ... + 202125.

It is an arithmetic number, because the mean of its divisors is an integer number (41936924).

Almost surely, 22096116800 is an apocalyptic number.

2096116800 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 2096116800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3522701616).

2096116800 is an abundant number, since it is smaller than the sum of its proper divisors (4949286432).

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

2096116800 is a wasteful number, since it uses less digits than its factorization.

2096116800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10717 (or 10702 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 2096116800 is about 45783.3681591907. The cubic root of 2096116800 is about 1279.7893533571.

The spelling of 2096116800 in words is "two billion, ninety-six million, one hundred sixteen thousand, eight hundred".