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11705399136 = 253240643747
BaseRepresentation
bin10101110011011001…
…00011011101100000
31010012202202212221100
422321230203131200
5142433040233021
65213303154400
7563033152044
oct127154433540
933182685840
1011705399136
114a67435692
122328145a00
1311471073a2
147d0852024
1548797b626
hex2b9b23760

11705399136 has 36 divisors (see below), whose sum is σ = 33287229612. Its totient is φ = 3901799616.

The previous prime is 11705399093. The next prime is 11705399159. The reversal of 11705399136 is 63199350711.

It is a happy number.

11705399136 is a `hidden beast` number, since 11 + 70 + 539 + 9 + 1 + 36 = 666.

11705399136 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 11705399091 and 11705399100.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 20321586 + ... + 20322161.

It is an arithmetic number, because the mean of its divisors is an integer number (924645267).

Almost surely, 211705399136 is an apocalyptic number.

11705399136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11705399136 is an abundant number, since it is smaller than the sum of its proper divisors (21581830476).

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

11705399136 is a wasteful number, since it uses less digits than its factorization.

11705399136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40643763 (or 40643752 counting only the distinct ones).

The product of its (nonzero) digits is 153090, while the sum is 45.

The spelling of 11705399136 in words is "eleven billion, seven hundred five million, three hundred ninety-nine thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 40643747 81287494 121931241 162574988 243862482 325149976 365793723 487724964 650299952 731587446 975449928 1300599904 1463174892 1950899856 2926349784 3901799712 5852699568 11705399136