Search a number
-
+
12116725776 = 243291732
BaseRepresentation
bin10110100100011011…
…01001000000010000
31011021102202110000100
423102031221000100
5144303340211101
65322155252400
7606156320061
oct132215510020
934242673010
1012116725776
115158637461
122421a4a100
1311b13b332c
1482d324568
154adb2ae86
hex2d2369010

12116725776 has 45 divisors (see below), whose sum is σ = 33913700509. Its totient is φ = 4038468288.

The previous prime is 12116725759. The next prime is 12116725781. The reversal of 12116725776 is 67752761121.

The square root of 12116725776 is 110076.

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

12116725776 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 6 + 72 + 577 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 317552400 + 11799173376 = 17820^2 + 108624^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1316326 + ... + 1325498.

Almost surely, 212116725776 is an apocalyptic number.

12116725776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12116725776 is the 110076-th square number.

It is an amenable number.

12116725776 is an abundant number, since it is smaller than the sum of its proper divisors (21796974733).

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

12116725776 is an frugal number, since it uses more digits than its factorization.

12116725776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18360 (or 9178 counting only the distinct ones).

The product of its digits is 246960, while the sum is 45.

The spelling of 12116725776 in words is "twelve billion, one hundred sixteen million, seven hundred twenty-five thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 9173 18346 27519 36692 55038 73384 82557 110076 146768 165114 220152 330228 440304 660456 1320912 84143929 168287858 252431787 336575716 504863574 673151432 757295361 1009727148 1346302864 1514590722 2019454296 3029181444 4038908592 6058362888 12116725776