Search a number
-
+
11733666112 = 2671012111229
BaseRepresentation
bin10101110110110000…
…11000100101000000
31010021201221222221101
422323120120211000
5143012304303422
65220153104144
7563525342050
oct127330304500
933251858841
1011733666112
114a81392023
1223356b8054
13114cc235cc
147d44cd560
1548a1b1c27
hex2bb618940

11733666112 has 112 divisors (see below), whose sum is σ = 27023080320. Its totient is φ = 4951296000.

The previous prime is 11733666083. The next prime is 11733666121. The reversal of 11733666112 is 21166633711.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9546714 + ... + 9547942.

Almost surely, 211733666112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11733666112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13511540160).

11733666112 is an abundant number, since it is smaller than the sum of its proper divisors (15289414208).

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

11733666112 is a wasteful number, since it uses less digits than its factorization.

11733666112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1560 (or 1550 counting only the distinct ones).

The product of its digits is 27216, while the sum is 37.

The spelling of 11733666112 in words is "eleven billion, seven hundred thirty-three million, six hundred sixty-six thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 101 112 202 211 224 404 422 448 707 808 844 1229 1414 1477 1616 1688 2458 2828 2954 3232 3376 4916 5656 5908 6464 6752 8603 9832 11312 11816 13504 17206 19664 21311 22624 23632 34412 39328 42622 45248 47264 68824 78656 85244 94528 124129 137648 149177 170488 248258 259319 275296 298354 340976 496516 518638 550592 596708 681952 868903 993032 1037276 1193416 1363904 1737806 1815233 1986064 2074552 2386832 3475612 3630466 3972128 4149104 4773664 6951224 7260932 7944256 8298208 9547328 13902448 14521864 16596416 26191219 27804896 29043728 52382438 55609792 58087456 104764876 116174912 183338533 209529752 366677066 419059504 733354132 838119008 1466708264 1676238016 2933416528 5866833056 11733666112