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132664164261505 = 5294644119700809
BaseRepresentation
bin11110001010100001001000…
…011000101001111010000001
3122101201120101201002101211221
4132022201020120221322001
5114342032202022332010
61150053024204035041
736641445443244412
oct3612411030517201
9571646351071757
10132664164261505
11392a86131a59a8
1212a67254232a81
13590423bb789a6
1424a8da0857809
151050d75516dda
hex78a848629e81

132664164261505 has 16 divisors (see below), whose sum is σ = 164690103243600. Its totient is φ = 102469418634240.

The previous prime is 132664164261493. The next prime is 132664164261571. The reversal of 132664164261505 is 505162461466231.

It can be written as a sum of positive squares in 8 ways, for example, as 5888004163441 + 126776160098064 = 2426521^2 + 11259492^2 .

It is not a de Polignac number, because 132664164261505 - 215 = 132664164228737 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3116460 + ... + 16584349.

It is an arithmetic number, because the mean of its divisors is an integer number (10293131452725).

Almost surely, 2132664164261505 is an apocalyptic number.

It is an amenable number.

132664164261505 is a deficient number, since it is larger than the sum of its proper divisors (32025938982095).

132664164261505 is a wasteful number, since it uses less digits than its factorization.

132664164261505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19747284.

The product of its (nonzero) digits is 6220800, while the sum is 52.

The spelling of 132664164261505 in words is "one hundred thirty-two trillion, six hundred sixty-four billion, one hundred sixty-four million, two hundred sixty-one thousand, five hundred five".

Divisors: 1 5 29 145 46441 232205 1346789 6733945 19700809 98504045 571323461 2856617305 914925270769 4574626353845 26532832852301 132664164261505