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11710306944 = 27337269151
BaseRepresentation
bin10101110011111110…
…10001101010000000
31010020010000020012000
422321333101222000
5142440314310234
65214000304000
7563122652400
oct127177215200
933203006160
1011710306944
114a6a187a26
122329912000
13114813520b
147d136c800
154880ea899
hex2b9fd1a80

11710306944 has 192 divisors, whose sum is σ = 40204972800. Its totient is φ = 3345753600.

The previous prime is 11710306943. The next prime is 11710306957. The reversal of 11710306944 is 44960301711.

11710306944 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 (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11710306899 and 11710306908.

It is not an unprimeable number, because it can be changed into a prime (11710306943) 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, 134769 + ... + 203919.

It is an arithmetic number, because the mean of its divisors is an integer number (209400900).

Almost surely, 211710306944 is an apocalyptic number.

11710306944 is a gapful number since it is divisible by the number (14) 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 11710306944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20102486400).

11710306944 is an abundant number, since it is smaller than the sum of its proper divisors (28494665856).

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

11710306944 is an equidigital number, since it uses as much as digits as its factorization.

11710306944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69188 (or 69163 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 11710306944 in words is "eleven billion, seven hundred ten million, three hundred six thousand, nine hundred forty-four".