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12116065329 = 32366912
BaseRepresentation
bin10110100100010110…
…00111110000110001
31011021101111220001100
423102023013300301
5144303203042304
65322133155013
7606150566424
oct132213076061
934241456040
1012116065329
115158226235
12242178ba69
1311b1211834
1482d1d19bb
154ada4a439
hex2d22c7c31

12116065329 has 9 divisors (see below), whose sum is σ = 17501460249. Its totient is φ = 8077156740.

The previous prime is 12116065309. The next prime is 12116065361. The reversal of 12116065329 is 92356061121.

The square root of 12116065329 is 110073.

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

12116065329 is a `hidden beast` number, since 1 + 2 + 11 + 606 + 5 + 32 + 9 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 12116065329 - 29 = 12116064817 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12116065293 and 12116065302.

It is not an unprimeable number, because it can be changed into a prime (12116065309) 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, 311874 + ... + 348564.

Almost surely, 212116065329 is an apocalyptic number.

12116065329 is the 110073-rd square number.

12116065329 is the 55037-th centered octagonal number.

It is an amenable number.

12116065329 is a deficient number, since it is larger than the sum of its proper divisors (5385394920).

12116065329 is an frugal number, since it uses more digits than its factorization.

12116065329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73388 (or 36694 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

Multiplying 12116065329 by its sum of digits (36), we get a square (436178351844 = 6604382).

The spelling of 12116065329 in words is "twelve billion, one hundred sixteen million, sixty-five thousand, three hundred twenty-nine".

Divisors: 1 3 9 36691 110073 330219 1346229481 4038688443 12116065329