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12686161355316 = 2232352393370981
BaseRepresentation
bin1011100010011011101000…
…1001000010001000110100
31122220210012101201111211200
42320212322021002020310
53130322224301332231
642551535253132500
72446354622213121
oct270467211021064
948823171644750
1012686161355316
1140511973a2969
12150a7b592a130
137103b8ac4277
1431c02900d748
1516eee2118be6
hexb89ba242234

12686161355316 has 18 divisors (see below), whose sum is σ = 32067796759362. Its totient is φ = 4228720451760.

The previous prime is 12686161355311. The next prime is 12686161355321. The reversal of 12686161355316 is 61355316168621.

12686161355316 is a `hidden beast` number, since 1 + 2 + 6 + 8 + 6 + 1 + 613 + 5 + 5 + 3 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (12686161355311) and next prime (12686161355321).

It can be written as a sum of positive squares in only one way, i.e., 10518800292900 + 2167361062416 = 3243270^2 + 1472196^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×126861613553162 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12686161355311) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 176196685455 + ... + 176196685526.

It is an arithmetic number, because the mean of its divisors is an integer number (1781544264409).

Almost surely, 212686161355316 is an apocalyptic number.

It is an amenable number.

12686161355316 is an abundant number, since it is smaller than the sum of its proper divisors (19381635404046).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12686161355316 is a wasteful number, since it uses less digits than its factorization.

12686161355316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352393370991 (or 352393370986 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 54.

The spelling of 12686161355316 in words is "twelve trillion, six hundred eighty-six billion, one hundred sixty-one million, three hundred fifty-five thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 352393370981 704786741962 1057180112943 1409573483924 2114360225886 3171540338829 4228720451772 6343080677658 12686161355316