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11150000829 = 3211791425649
BaseRepresentation
bin10100110001001011…
…11000001010111101
31001210001200201200200
422120211320022331
5140313400011304
65042223114113
7543210305022
oct123045701275
931701621620
1011150000829
114801980720
1221b2142939
131089026a36
1477ab99549
15453d1de39
hex2989782bd

11150000829 has 24 divisors (see below), whose sum is σ = 17792112000. Its totient is φ = 6672032640.

The previous prime is 11150000761. The next prime is 11150000879. The reversal of 11150000829 is 92800005111.

11150000829 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11150000829 - 211 = 11149998781 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11150000879) 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 23 ways as a sum of consecutive naturals, for example, 705004 + ... + 720645.

It is an arithmetic number, because the mean of its divisors is an integer number (741338000).

Almost surely, 211150000829 is an apocalyptic number.

It is an amenable number.

11150000829 is a deficient number, since it is larger than the sum of its proper divisors (6642111171).

11150000829 is a wasteful number, since it uses less digits than its factorization.

11150000829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1425745 (or 1425742 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

The spelling of 11150000829 in words is "eleven billion, one hundred fifty million, eight hundred twenty-nine", and thus it is an aban number.

Divisors: 1 3 9 11 33 79 99 237 711 869 2607 7821 1425649 4276947 12830841 15682139 47046417 112626271 141139251 337878813 1013636439 1238888981 3716666943 11150000829