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132661307529 = 3216727272
BaseRepresentation
bin111101110001100111…
…0101110100010001001
3110200102101122200020100
41323203032232202021
54133142243320104
6140535504120013
712404320336302
oct1734316564211
9420371580210
10132661307529
1151296938943
1221864006009
13c68236190a
1465c6b097a9
1536b6804139
hex1ee33ae889

132661307529 has 27 divisors (see below), whose sum is σ = 193041727437. Its totient is φ = 87790362264.

The previous prime is 132661307507. The next prime is 132661307549. The reversal of 132661307529 is 925703166231.

The square root of 132661307529 is 364227.

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

132661307529 is a `hidden beast` number, since 1 + 3 + 2 + 6 + 613 + 0 + 7 + 5 + 29 = 666.

It is not a de Polignac number, because 132661307529 - 223 = 132652918921 is a prime.

It is not an unprimeable number, because it can be changed into a prime (132661307549) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 182477364 + ... + 182478090.

Almost surely, 2132661307529 is an apocalyptic number.

132661307529 is the 364227-th square number.

132661307529 is the 182114-th centered octagonal number.

It is an amenable number.

132661307529 is a deficient number, since it is larger than the sum of its proper divisors (60380419908).

132661307529 is an frugal number, since it uses more digits than its factorization.

132661307529 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1794 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 132661307529 in words is "one hundred thirty-two billion, six hundred sixty-one million, three hundred seven thousand, five hundred twenty-nine".

Divisors: 1 3 9 167 501 727 1503 2181 6543 27889 83667 121409 251001 364227 528529 1092681 1585587 4756761 20275303 60825909 88264343 182477727 264793029 794379087 14740145281 44220435843 132661307529