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12766166144 = 2799735673
BaseRepresentation
bin10111110001110110…
…00011110010000000
31012221200210102201022
423320323003302000
5202121114304034
65510435125012
7631233423164
oct137073036200
935850712638
1012766166144
115461193636
122583443768
131285acc684
1489169aca4
154eab62b2e
hex2f8ec3c80

12766166144 has 16 divisors (see below), whose sum is σ = 25432596870. Its totient is φ = 6383083008.

The previous prime is 12766166143. The next prime is 12766166159. The reversal of 12766166144 is 44166166721.

It can be written as a sum of positive squares in only one way, i.e., 12434926144 + 331240000 = 111512^2 + 18200^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is a junction number, because it is equal to n+sod(n) for n = 12766166095 and 12766166104.

It is not an unprimeable number, because it can be changed into a prime (12766166143) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 49867709 + ... + 49867964.

Almost surely, 212766166144 is an apocalyptic number.

It is an amenable number.

12766166144 is a deficient number, since it is larger than the sum of its proper divisors (12666430726).

12766166144 is an frugal number, since it uses more digits than its factorization.

12766166144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99735687 (or 99735675 counting only the distinct ones).

The product of its digits is 290304, while the sum is 44.

The spelling of 12766166144 in words is "twelve billion, seven hundred sixty-six million, one hundred sixty-six thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 99735673 199471346 398942692 797885384 1595770768 3191541536 6383083072 12766166144