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218608814341 = 4114093784189
BaseRepresentation
bin1100101110011000011…
…0011100100100000101
3202220021020001101210101
43023212012130210011
512040202324024331
6244232201324101
721536221156021
oct3134606344405
9686236041711
10218608814341
1184790a81905
123644b796631
13177cb713318
14a81b70b381
155a46edc061
hex32e619c905

218608814341 has 8 divisors (see below), whose sum is σ = 224099731800. Its totient is φ = 213125468160.

The previous prime is 218608814329. The next prime is 218608814351. The reversal of 218608814341 is 143418806812.

It can be written as a sum of positive squares in 4 ways, for example, as 19838116 + 218588976225 = 4454^2 + 467535^2 .

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-218608814341 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 218608814291 and 218608814300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218608814351) 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, 1834326 + ... + 1949863.

It is an arithmetic number, because the mean of its divisors is an integer number (28012466475).

Almost surely, 2218608814341 is an apocalyptic number.

It is an amenable number.

218608814341 is a deficient number, since it is larger than the sum of its proper divisors (5490917459).

218608814341 is a wasteful number, since it uses less digits than its factorization.

218608814341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3785639.

The product of its (nonzero) digits is 294912, while the sum is 46.

The spelling of 218608814341 in words is "two hundred eighteen billion, six hundred eight million, eight hundred fourteen thousand, three hundred forty-one".

Divisors: 1 41 1409 57769 3784189 155151749 5331922301 218608814341