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11255107724 = 227271808789
BaseRepresentation
bin10100111101101101…
…10101000010001100
31002001101110201020122
422132312311002030
5141022301421344
65100500004112
7545624560100
oct123666650214
932041421218
1011255107724
114856240023
122221390638
1310a4a37b73
1478ab19900
1545d181aee
hex29edb508c

11255107724 has 36 divisors (see below), whose sum is σ = 23234919120. Its totient is φ = 4755673440.

The previous prime is 11255107723. The next prime is 11255107751. The reversal of 11255107724 is 42770155211.

11255107724 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 (11255107723) 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 11 ways as a sum of consecutive naturals, for example, 390479 + ... + 418310.

It is an arithmetic number, because the mean of its divisors is an integer number (645414420).

Almost surely, 211255107724 is an apocalyptic number.

11255107724 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11255107724 is an abundant number, since it is smaller than the sum of its proper divisors (11979811396).

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

11255107724 is a wasteful number, since it uses less digits than its factorization.

11255107724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808878 (or 808869 counting only the distinct ones).

The product of its (nonzero) digits is 19600, while the sum is 35.

The spelling of 11255107724 in words is "eleven billion, two hundred fifty-five million, one hundred seven thousand, seven hundred twenty-four".

Divisors: 1 2 4 7 14 28 49 71 98 142 196 284 497 994 1988 3479 6958 13916 808789 1617578 3235156 5661523 11323046 22646092 39630661 57424019 79261322 114848038 158522644 229696076 401968133 803936266 1607872532 2813776931 5627553862 11255107724