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132909097489 = 72520812
BaseRepresentation
bin111101111000111111…
…1111110001000010001
3110201001122220201011021
41323301333332020101
54134144212104424
6141020235115441
712413416455100
oct1736177761021
9421048821137
10132909097489
11514037a2133
1221912ba2b81
13c6c17ac3ac
14660b9ac037
1536cd44d4e4
hex1ef1ffe211

132909097489 has 9 divisors (see below), whose sum is σ = 154611510651. Its totient is φ = 113919896160.

The previous prime is 132909097487. The next prime is 132909097493. The reversal of 132909097489 is 984790909231.

The square root of 132909097489 is 364567.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 11972079889 + 120937017600 = 109417^2 + 347760^2 .

It is not a de Polignac number, because 132909097489 - 21 = 132909097487 is a prime.

It is a super-2 number, since 2×1329090974892 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (132909097487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2525929 + ... + 2578009.

It is an arithmetic number, because the mean of its divisors is an integer number (17179056739).

Almost surely, 2132909097489 is an apocalyptic number.

132909097489 is the 364567-th square number.

132909097489 is the 182284-th centered octagonal number.

It is an amenable number.

132909097489 is a deficient number, since it is larger than the sum of its proper divisors (21702413162).

132909097489 is an frugal number, since it uses more digits than its factorization.

132909097489 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104176 (or 52088 counting only the distinct ones).

The product of its (nonzero) digits is 8817984, while the sum is 61.

The spelling of 132909097489 in words is "one hundred thirty-two billion, nine hundred nine million, ninety-seven thousand, four hundred eighty-nine".

Divisors: 1 7 49 52081 364567 2551969 2712430561 18987013927 132909097489