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11013655482 = 23319891031171
BaseRepresentation
bin10100100000111011…
…10000101110111010
31001102120010200001000
422100131300232322
5140023443433412
65020512505430
7536633345514
oct122035605672
931376120030
1011013655482
114741a15415
12217454b276
1310669c900b
14766a26bb4
15446d8a4dc
hex290770bba

11013655482 has 128 divisors (see below), whose sum is σ = 26327808000. Its totient is φ = 3402622080.

The previous prime is 11013655481. The next prime is 11013655487. The reversal of 11013655482 is 28455631011.

11013655482 is a `hidden beast` number, since 1 + 10 + 13 + 6 + 554 + 82 = 666.

11013655482 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (11013655481) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 9404757 + ... + 9405927.

It is an arithmetic number, because the mean of its divisors is an integer number (205686000).

Almost surely, 211013655482 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11013655482, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13163904000).

11013655482 is an abundant number, since it is smaller than the sum of its proper divisors (15314152518).

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

11013655482 is a wasteful number, since it uses less digits than its factorization.

11013655482 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1393 (or 1387 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 11013655482 in words is "eleven billion, thirteen million, six hundred fifty-five thousand, four hundred eighty-two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 89 103 114 171 178 206 267 309 342 513 534 618 801 927 1026 1171 1602 1691 1854 1957 2342 2403 2781 3382 3513 3914 4806 5073 5562 5871 7026 9167 10146 10539 11742 15219 17613 18334 21078 22249 27501 30438 31617 35226 44498 45657 52839 55002 63234 66747 82503 91314 104219 105678 120613 133494 165006 174173 200241 208438 241226 247509 312657 348346 361839 400482 495018 522519 600723 625314 723678 937971 1045038 1085517 1201446 1567557 1875942 1980161 2171034 2291647 2813913 3135114 3256551 3960322 4583294 4702671 5627826 5940483 6513102 6874941 9405342 10734557 11880966 13749882 17821449 20624823 21469114 32203671 35642898 41249646 53464347 61874469 64407342 96611013 106928694 123748938 193222026 203956583 289833039 407913166 579666078 611869749 1223739498 1835609247 3671218494 5506827741 11013655482