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132339526225 = 5231223472
BaseRepresentation
bin111101101000000001…
…1001110101001010001
3110122120222011111021021
41323100003032221101
54132012404314400
6140443531155441
712363332261344
oct1732003165121
9418528144237
10132339526225
1151141237885
12217942a5b81
13c6307a898a
1465960a645b
15369844171a
hex1ed00cea51

132339526225 has 27 divisors (see below), whose sum is σ = 169637632731. Its totient is φ = 102412753200.

The previous prime is 132339526223. The next prime is 132339526259. The reversal of 132339526225 is 522625933231.

The square root of 132339526225 is 363785.

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., 47642229441 + 84697296784 = 218271^2 + 291028^2 .

It is not a de Polignac number, because 132339526225 - 21 = 132339526223 is a prime.

It is not an unprimeable number, because it can be changed into a prime (132339526223) 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 26 ways as a sum of consecutive naturals, for example, 56385502 + ... + 56387848.

Almost surely, 2132339526225 is an apocalyptic number.

132339526225 is the 363785-th square number.

132339526225 is the 181893-rd centered octagonal number.

It is an amenable number.

132339526225 is a deficient number, since it is larger than the sum of its proper divisors (37298106506).

132339526225 is an frugal number, since it uses more digits than its factorization.

132339526225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4766 (or 2383 counting only the distinct ones).

The product of its digits is 583200, while the sum is 43.

The spelling of 132339526225 in words is "one hundred thirty-two billion, three hundred thirty-nine million, five hundred twenty-six thousand, two hundred twenty-five".

Divisors: 1 5 25 31 155 775 961 2347 4805 11735 24025 58675 72757 363785 1818925 2255467 5508409 11277335 27542045 56386675 137710225 170760679 853803395 4269016975 5293581049 26467905245 132339526225