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11768740236657 = 325437240507229
BaseRepresentation
bin1010101101000001111110…
…0101001100110101110001
31112200002011202000220111100
42223100133211030311301
53020304340000033112
641010252402435013
72323156232321145
oct253203745146561
945602152026440
1011768740236657
113828105064848
1213a0a3b362a69
13674a3101ab31
142c9878047225
151561ea47e2dc
hexab41f94cd71

11768740236657 has 12 divisors (see below), whose sum is σ = 17002418117620. Its totient is φ = 7844383748448.

The previous prime is 11768740236653. The next prime is 11768740236683. The reversal of 11768740236657 is 75663204786711.

11768740236657 is a `hidden beast` number, since 1 + 1 + 76 + 87 + 402 + 36 + 6 + 57 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10010997248256 + 1757742988401 = 3164016^2 + 1325799^2 .

It is not a de Polignac number, because 11768740236657 - 22 = 11768740236653 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11768740236594 and 11768740236603.

It is not an unprimeable number, because it can be changed into a prime (11768740236653) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 120204682 + ... + 120302547.

Almost surely, 211768740236657 is an apocalyptic number.

It is an amenable number.

11768740236657 is a deficient number, since it is larger than the sum of its proper divisors (5233677880963).

11768740236657 is a wasteful number, since it uses less digits than its factorization.

11768740236657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240512672 (or 240512669 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 63.

The spelling of 11768740236657 in words is "eleven trillion, seven hundred sixty-eight billion, seven hundred forty million, two hundred thirty-six thousand, six hundred fifty-seven".

Divisors: 1 3 9 5437 16311 48933 240507229 721521687 2164565061 1307637804073 3922913412219 11768740236657