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2117349841 = 53269148513
BaseRepresentation
bin111111000110100…
…0011000111010001
312110120011111221111
41332031003013101
513314020143331
6550034053321
7103320114415
oct17615030721
95416144844
102117349841
11997209302
124b111a241
13279883c39
141612c4d45
15c5d42db1
hex7e3431d1

2117349841 has 8 divisors (see below), whose sum is σ = 2165334120. Its totient is φ = 2069663232.

The previous prime is 2117349823. The next prime is 2117349869. The reversal of 2117349841 is 1489437112.

It can be written as a sum of positive squares in 4 ways, for example, as 45279441 + 2072070400 = 6729^2 + 45520^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 2117349841 - 217 = 2117218769 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2117349794 and 2117349803.

It is not an unprimeable number, because it can be changed into a prime (2117343841) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60000 + ... + 88513.

It is an arithmetic number, because the mean of its divisors is an integer number (270666765).

Almost surely, 22117349841 is an apocalyptic number.

It is an amenable number.

2117349841 is a deficient number, since it is larger than the sum of its proper divisors (47984279).

2117349841 is a wasteful number, since it uses less digits than its factorization.

2117349841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148835.

The product of its digits is 48384, while the sum is 40.

The square root of 2117349841 is about 46014.6698456047. The cubic root of 2117349841 is about 1284.0961391978.

The spelling of 2117349841 in words is "two billion, one hundred seventeen million, three hundred forty-nine thousand, eight hundred forty-one".

Divisors: 1 53 269 14257 148513 7871189 39949997 2117349841