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132164576325 = 32525771018021
BaseRepresentation
bin111101100010110011…
…1110110010001000101
3110122010202222010010100
41323011213312101011
54131133112420300
6140414321314313
712356106235335
oct1730547662105
9418122863110
10132164576325
1151061504391
1221745795999
13c603482622
14657ab650c5
153687dd4700
hex1ec59f6445

132164576325 has 36 divisors (see below), whose sum is σ = 237131936548. Its totient is φ = 70365542400.

The previous prime is 132164576317. The next prime is 132164576351. The reversal of 132164576325 is 523675461231.

132164576325 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 6 + 4 + 5 + 7 + 632 + 5 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 661158369 + 131503417956 = 25713^2 + 362634^2 .

It is not a de Polignac number, because 132164576325 - 23 = 132164576317 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 379186 + ... + 638835.

Almost surely, 2132164576325 is an apocalyptic number.

132164576325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132164576325 is a deficient number, since it is larger than the sum of its proper divisors (104967360223).

132164576325 is a wasteful number, since it uses less digits than its factorization.

132164576325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1018614 (or 1018606 counting only the distinct ones).

The product of its digits is 907200, while the sum is 45.

The spelling of 132164576325 in words is "one hundred thirty-two billion, one hundred sixty-four million, five hundred seventy-six thousand, three hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 577 1731 2885 5193 8655 14425 25965 43275 129825 1018021 3054063 5090105 9162189 15270315 25450525 45810945 76351575 229054725 587398117 1762194351 2936990585 5286583053 8810971755 14684952925 26432915265 44054858775 132164576325