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17082688680 = 23325179772857
BaseRepresentation
bin11111110100011010…
…10010010010101000
31122002112002111110100
433322031102102220
5234441132014210
611503033145400
71143216313041
oct177215222250
948075074410
1017082688680
117276806932
123388b5b260
1317c3185515
14b80a858c8
1569eaac5c0
hex3fa3524a8

17082688680 has 192 divisors, whose sum is σ = 58865311440. Its totient is φ = 4281532416.

The previous prime is 17082688613. The next prime is 17082688681. The reversal of 17082688680 is 8688628071.

17082688680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 15012620676 + 2070068004 = 122526^2 + 45498^2 .

It is not an unprimeable number, because it can be changed into a prime (17082688681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5977812 + ... + 5980668.

Almost surely, 217082688680 is an apocalyptic number.

17082688680 is a gapful number since it is divisible by the number (10) 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 17082688680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29432655720).

17082688680 is an abundant number, since it is smaller than the sum of its proper divisors (41782622760).

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

17082688680 is a wasteful number, since it uses less digits than its factorization.

17082688680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3868 (or 3861 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The spelling of 17082688680 in words is "seventeen billion, eighty-two million, six hundred eighty-eight thousand, six hundred eighty".