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11124733716 = 2232309020381
BaseRepresentation
bin10100101110001010…
…11111011100010100
31001201022011000201200
422113011133130110
5140240412434331
65035521352500
7542452450665
oct122705373424
931638130650
1011124733716
114799693108
1221a5798730
131083a1b095
1477769d36c
154519cc5e6
hex29715f714

11124733716 has 18 divisors (see below), whose sum is σ = 28120854762. Its totient is φ = 3708244560.

The previous prime is 11124733699. The next prime is 11124733759. The reversal of 11124733716 is 61733742111.

It is a happy number.

11124733716 is a `hidden beast` number, since 1 + 112 + 473 + 3 + 71 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9789123600 + 1335610116 = 98940^2 + 36546^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-3 number, since 3×111247337163 (a number of 31 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 309020381 = 11124733716 / (1 + 1 + 1 + 2 + 4 + 7 + 3 + 3 + 7 + 1 + 6).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 154510155 + ... + 154510226.

It is an arithmetic number, because the mean of its divisors is an integer number (1562269709).

Almost surely, 211124733716 is an apocalyptic number.

It is an amenable number.

11124733716 is an abundant number, since it is smaller than the sum of its proper divisors (16996121046).

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

11124733716 is a wasteful number, since it uses less digits than its factorization.

11124733716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309020391 (or 309020386 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The spelling of 11124733716 in words is "eleven billion, one hundred twenty-four million, seven hundred thirty-three thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 309020381 618040762 927061143 1236081524 1854122286 2781183429 3708244572 5562366858 11124733716