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218769220969 = 13136112364733
BaseRepresentation
bin1100101110111110101…
…0010110010101101001
3202220200101212220022121
43023233222112111221
512041014410032334
6244300131351241
721543206460565
oct3135752262551
9686611786277
10218769220969
1184863581772
1236495452521
1317825a16ba0
14a834b446a5
155a56124db4
hex32efa96569

218769220969 has 8 divisors (see below), whose sum is σ = 235770747912. Its totient is φ = 201792426240.

The previous prime is 218769220963. The next prime is 218769220997. The reversal of 218769220969 is 969022967812.

It can be written as a sum of positive squares in 4 ways, for example, as 1985860969 + 216783360000 = 44563^2 + 465600^2 .

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 218769220969 - 27 = 218769220841 is a prime.

It is a super-3 number, since 3×2187692209693 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (218769220963) 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, 6164674 + ... + 6200059.

It is an arithmetic number, because the mean of its divisors is an integer number (29471343489).

Almost surely, 2218769220969 is an apocalyptic number.

It is an amenable number.

218769220969 is a deficient number, since it is larger than the sum of its proper divisors (17001526943).

218769220969 is a wasteful number, since it uses less digits than its factorization.

218769220969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12366107.

The product of its (nonzero) digits is 11757312, while the sum is 61.

The spelling of 218769220969 in words is "two hundred eighteen billion, seven hundred sixty-nine million, two hundred twenty thousand, nine hundred sixty-nine".

Divisors: 1 13 1361 17693 12364733 160741529 16828401613 218769220969