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12667277401 = 29238812
BaseRepresentation
bin10111100110000011…
…10101000001011001
31012200210201100212021
423303001311001121
5201420310334101
65452543414441
7625623036622
oct136301650131
935623640767
1012667277401
115410390aa9
1225562b4421
13126b48791c
148824b8a49
154e212c5a1
hex2f3075059

12667277401 has 9 divisors (see below), whose sum is σ = 13122523453. Its totient is φ = 12227323360.

The previous prime is 12667277387. The next prime is 12667277407. The reversal of 12667277401 is 10477276621.

The square root of 12667277401 is 112549.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 306285001 + 12360992400 = 17501^2 + 111180^2 .

It is not a de Polignac number, because 12667277401 - 215 = 12667244633 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12667277407) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3261981 + ... + 3265861.

Almost surely, 212667277401 is an apocalyptic number.

12667277401 is the 112549-th square number.

12667277401 is the 56275-th centered octagonal number.

It is an amenable number.

12667277401 is a deficient number, since it is larger than the sum of its proper divisors (455246052).

12667277401 is an frugal number, since it uses more digits than its factorization.

12667277401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7820 (or 3910 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 43.

The spelling of 12667277401 in words is "twelve billion, six hundred sixty-seven million, two hundred seventy-seven thousand, four hundred one".

Divisors: 1 29 841 3881 112549 3263921 15062161 436802669 12667277401