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2128068517 = 17294316569
BaseRepresentation
bin111111011010111…
…1011111110100101
312111022100002012111
41332311323332211
513324241143032
6551055521021
7103510166251
oct17665737645
95438302174
102128068517
119a226a413
124b4829171
1327bb67953
141628b5261
15c6c5dc47
hex7ed7bfa5

2128068517 has 8 divisors (see below), whose sum is σ = 2330947800. Its totient is φ = 1933822464.

The previous prime is 2128068493. The next prime is 2128068541. The reversal of 2128068517 is 7158608212.

It is an interprime number because it is at equal distance from previous prime (2128068493) and next prime (2128068541).

It can be written as a sum of positive squares in 4 ways, for example, as 293573956 + 1834494561 = 17134^2 + 42831^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2128068517 is a prime.

It is a super-2 number, since 2×21280685172 = 9057351226093158578, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2128068517.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2128068557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2157792 + ... + 2158777.

It is an arithmetic number, because the mean of its divisors is an integer number (291368475).

Almost surely, 22128068517 is an apocalyptic number.

It is an amenable number.

2128068517 is a deficient number, since it is larger than the sum of its proper divisors (202879283).

2128068517 is a wasteful number, since it uses less digits than its factorization.

2128068517 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4316615.

The product of its (nonzero) digits is 53760, while the sum is 40.

The square root of 2128068517 is about 46130.9930198776. The cubic root of 2128068517 is about 1286.2593229029.

The spelling of 2128068517 in words is "two billion, one hundred twenty-eight million, sixty-eight thousand, five hundred seventeen".

Divisors: 1 17 29 493 4316569 73381673 125180501 2128068517