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11093284368 = 243519150169
BaseRepresentation
bin10100101010011011…
…00001011000010000
31001122002222020100000
422111031201120100
5140204340044433
65032435330000
7541621234635
oct122515413020
931562866300
1011093284368
114782962811
122197150900
13107a3594ba
1477343418c
1544dd69113
hex295361610

11093284368 has 120 divisors (see below), whose sum is σ = 33890365600. Its totient is φ = 3503119104.

The previous prime is 11093284343. The next prime is 11093284441. The reversal of 11093284368 is 86348239011.

11093284368 is a `hidden beast` number, since 1 + 1 + 0 + 9 + 3 + 284 + 368 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1213 + ... + 148956.

Almost surely, 211093284368 is an apocalyptic number.

11093284368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11093284368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16945182800).

11093284368 is an abundant number, since it is smaller than the sum of its proper divisors (22797081232).

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

11093284368 is a wasteful number, since it uses less digits than its factorization.

11093284368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150211 (or 150193 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 11093284368 in words is "eleven billion, ninety-three million, two hundred eighty-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 81 108 114 144 152 162 171 216 228 243 304 324 342 432 456 486 513 648 684 912 972 1026 1296 1368 1539 1944 2052 2736 3078 3888 4104 4617 6156 8208 9234 12312 18468 24624 36936 73872 150169 300338 450507 600676 901014 1201352 1351521 1802028 2402704 2703042 2853211 3604056 4054563 5406084 5706422 7208112 8109126 8559633 10812168 11412844 12163689 16218252 17119266 21624336 22825688 24327378 25678899 32436504 34238532 36491067 45651376 48654756 51357798 64873008 68477064 72982134 77036697 97309512 102715596 136954128 145964268 154073394 194619024 205431192 231110091 291928536 308146788 410862384 462220182 583857072 616293576 693330273 924440364 1232587152 1386660546 1848880728 2773321092 3697761456 5546642184 11093284368