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12067170161661 = 328374971600957
BaseRepresentation
bin1010111110011001101101…
…1001000001001111111101
31120201121110211120212020200
42233212123121001033331
53040202031030133121
641355325331434113
72353552503660426
oct257463331011775
946647424525220
1012067170161661
113932726a694aa
12142a846a55939
13696c10790784
142da0a884464d
1515dd64da0a26
hexaf99b6413fd

12067170161661 has 12 divisors (see below), whose sum is σ = 17430388600092. Its totient is φ = 8044765477056.

The previous prime is 12067170161659. The next prime is 12067170161671. The reversal of 12067170161661 is 16616107176021.

12067170161661 is a `hidden beast` number, since 1 + 20 + 6 + 7 + 1 + 7 + 0 + 1 + 616 + 6 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8426683265625 + 3640486896036 = 2902875^2 + 1908006^2 .

It is not a de Polignac number, because 12067170161661 - 21 = 12067170161659 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12067170161611) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6736995 + ... + 8337951.

It is an arithmetic number, because the mean of its divisors is an integer number (1452532383341).

Almost surely, 212067170161661 is an apocalyptic number.

It is an amenable number.

12067170161661 is a deficient number, since it is larger than the sum of its proper divisors (5363218438431).

12067170161661 is a wasteful number, since it uses less digits than its factorization.

12067170161661 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2438460 (or 2438457 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The spelling of 12067170161661 in words is "twelve trillion, sixty-seven billion, one hundred seventy million, one hundred sixty-one thousand, six hundred sixty-one".

Divisors: 1 3 9 837497 1600957 2512491 4802871 7537473 14408613 1340796684629 4022390053887 12067170161661