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11142635436 = 2232417549211
BaseRepresentation
bin10100110000010011…
…10001111110101100
31001202112211112021100
422120021301332230
5140310003313221
65041401203100
7543060560412
oct123011617654
931675745240
1011142635436
1147a87aaa19
1221ab790490
13108764840a
14779bdd2b2
15453366926
hex298271fac

11142635436 has 36 divisors (see below), whose sum is σ = 28853088264. Its totient is φ = 3623620800.

The previous prime is 11142635429. The next prime is 11142635479. The reversal of 11142635436 is 63453624111.

11142635436 is a `hidden beast` number, since 1 + 1 + 14 + 2 + 635 + 4 + 3 + 6 = 666.

11142635436 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 11142635436.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3773130 + ... + 3776081.

It is an arithmetic number, because the mean of its divisors is an integer number (801474674).

Almost surely, 211142635436 is an apocalyptic number.

It is an amenable number.

11142635436 is an abundant number, since it is smaller than the sum of its proper divisors (17710452828).

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

11142635436 is a wasteful number, since it uses less digits than its factorization.

11142635436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7549262 (or 7549257 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The spelling of 11142635436 in words is "eleven billion, one hundred forty-two million, six hundred thirty-five thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 1476 7549211 15098422 22647633 30196844 45295266 67942899 90590532 135885798 271771596 309517651 619035302 928552953 1238070604 1857105906 2785658859 3714211812 5571317718 11142635436