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11105250528 = 253313731603
BaseRepresentation
bin10100101011110110…
…01010110011100000
31001122221111011211010
422111323022303200
5140220421004103
65033544020520
7542125033461
oct122573126340
931587434733
1011105250528
1147896960a9
12219b161740
13107c988c78
14774c6ad68
1544ee2e903
hex295ecace0

11105250528 has 48 divisors (see below), whose sum is σ = 30091654656. Its totient is φ = 3582337920.

The previous prime is 11105250523. The next prime is 11105250553. The reversal of 11105250528 is 82505250111.

11105250528 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 (48).

It is a junction number, because it is equal to n+sod(n) for n = 11105250495 and 11105250504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11105250523) 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 7 ways as a sum of consecutive naturals, for example, 1862826 + ... + 1868777.

It is an arithmetic number, because the mean of its divisors is an integer number (626909472).

Almost surely, 211105250528 is an apocalyptic number.

It is an amenable number.

11105250528 is an abundant number, since it is smaller than the sum of its proper divisors (18986404128).

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

11105250528 is a wasteful number, since it uses less digits than its factorization.

11105250528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3731647 (or 3731639 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 30.

The spelling of 11105250528 in words is "eleven billion, one hundred five million, two hundred fifty thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2976 3731603 7463206 11194809 14926412 22389618 29852824 44779236 59705648 89558472 115679693 119411296 179116944 231359386 347039079 358233888 462718772 694078158 925437544 1388156316 1850875088 2776312632 3701750176 5552625264 11105250528