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838200117289 = 11327541269333
BaseRepresentation
bin11000011001010001001…
…11101100100000101001
32222010112121101202120111
430030220213230200221
5102213113212223124
61441021441254321
7114362244304243
oct14145047544051
92863477352514
10838200117289
112a352a129267
121165476343a1
1361071180382
142c7d788b093
1516c0bc95494
hexc3289ec829

838200117289 has 8 divisors (see below), whose sum is σ = 845651661192. Its totient is φ = 830749167360.

The previous prime is 838200117263. The next prime is 838200117319. The reversal of 838200117289 is 982711002838.

It can be written as a sum of positive squares in 4 ways, for example, as 55166265625 + 783033851664 = 234875^2 + 884892^2 .

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 838200117289 - 29 = 838200116777 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (838200117089) 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 7 ways as a sum of consecutive naturals, for example, 2977467 + ... + 3246799.

It is an arithmetic number, because the mean of its divisors is an integer number (105706457649).

Almost surely, 2838200117289 is an apocalyptic number.

It is an amenable number.

838200117289 is a deficient number, since it is larger than the sum of its proper divisors (7451543903).

838200117289 is a wasteful number, since it uses less digits than its factorization.

838200117289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296987.

The product of its (nonzero) digits is 387072, while the sum is 49.

The spelling of 838200117289 in words is "eight hundred thirty-eight billion, two hundred million, one hundred seventeen thousand, two hundred eighty-nine".

Divisors: 1 113 27541 269333 3112133 30434629 7417700153 838200117289