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12668816161 = 89239601991
BaseRepresentation
bin10111100110001111…
…01100101100100001
31012200220121112122101
423303013230230201
5201421204104121
65453040410401
7625642106041
oct136307545441
935626545571
1012668816161
115411242101
122556916a01
13126b8a6131
14882799721
154e2333491
hex2f31ecb21

12668816161 has 16 divisors (see below), whose sum is σ = 12899174400. Its totient is φ = 12440736000.

The previous prime is 12668816131. The next prime is 12668816179. The reversal of 12668816161 is 16161886621.

It is a happy number.

It is a 3-Lehmer number, since φ(12668816161) divides (12668816161-1)3.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12668816161 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12668816101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12783376 + ... + 12784366.

It is an arithmetic number, because the mean of its divisors is an integer number (806198400).

Almost surely, 212668816161 is an apocalyptic number.

12668816161 is the 50337-th centered decagonal number.

It is an amenable number.

12668816161 is a deficient number, since it is larger than the sum of its proper divisors (230358239).

12668816161 is an equidigital number, since it uses as much as digits as its factorization.

12668816161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1920.

The product of its digits is 165888, while the sum is 46.

The spelling of 12668816161 in words is "twelve billion, six hundred sixty-eight million, eight hundred sixteen thousand, one hundred sixty-one".

Divisors: 1 89 239 601 991 21271 53489 88199 143639 236849 595591 12783871 21079561 53007599 142346249 12668816161