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132049505 = 5713727539
BaseRepresentation
bin1111101111011…
…10101001100001
3100012110210212102
413313232221201
5232301041010
621034140145
73162254660
oct767565141
9305423772
10132049505
11685a1825
1238281655
1321485603
1413774dd7
15b8d5ba5
hex7deea61

132049505 has 16 divisors (see below), whose sum is σ = 182424960. Its totient is φ = 89884032.

The previous prime is 132049483. The next prime is 132049507. The reversal of 132049505 is 505940231.

It is a de Polignac number, because none of the positive numbers 2k-132049505 is a prime.

It is not an unprimeable number, because it can be changed into a prime (132049507) 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 15 ways as a sum of consecutive naturals, for example, 8975 + ... + 18564.

It is an arithmetic number, because the mean of its divisors is an integer number (11401560).

Almost surely, 2132049505 is an apocalyptic number.

It is an amenable number.

132049505 is a deficient number, since it is larger than the sum of its proper divisors (50375455).

132049505 is a wasteful number, since it uses less digits than its factorization.

132049505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27688.

The product of its (nonzero) digits is 5400, while the sum is 29.

The square root of 132049505 is about 11491.2795197054. The cubic root of 132049505 is about 509.2279809813.

Adding to 132049505 its reverse (505940231), we get a palindrome (637989736).

The spelling of 132049505 in words is "one hundred thirty-two million, forty-nine thousand, five hundred five".

Divisors: 1 5 7 35 137 685 959 4795 27539 137695 192773 963865 3772843 18864215 26409901 132049505