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132692868945 = 32571322492587
BaseRepresentation
bin111101110010100011…
…1000111111101010001
3110200111121001011100200
41323211013013331101
54133223333301240
6140542552405413
712405152530140
oct1734507077521
9420447034320
10132692868945
115130273545a
12218726a6869
13c688a62500
1465cada3757
1536b948a930
hex1ee51c7f51

132692868945 has 72 divisors (see below), whose sum is σ = 284633608896. Its totient is φ = 55993451904.

The previous prime is 132692868941. The next prime is 132692868947. The reversal of 132692868945 is 549868296231.

132692868945 is a `hidden beast` number, since 1 + 3 + 269 + 286 + 8 + 94 + 5 = 666.

It is not a de Polignac number, because 132692868945 - 22 = 132692868941 is a prime.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (132692868941) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1193059 + ... + 1299528.

It is an arithmetic number, because the mean of its divisors is an integer number (3953244568).

Almost surely, 2132692868945 is an apocalyptic number.

132692868945 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132692868945 is an abundant number, since it is smaller than the sum of its proper divisors (151940739951).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

132692868945 is a wasteful number, since it uses less digits than its factorization.

132692868945 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2492631 (or 2492615 counting only the distinct ones).

The product of its digits is 44789760, while the sum is 63.

The spelling of 132692868945 in words is "one hundred thirty-two billion, six hundred ninety-two million, eight hundred sixty-eight thousand, nine hundred forty-five".

Divisors: 1 3 5 7 9 13 15 21 35 39 45 63 65 91 105 117 169 195 273 315 455 507 585 819 845 1183 1365 1521 2535 3549 4095 5915 7605 10647 17745 53235 2492587 7477761 12462935 17448109 22433283 32403631 37388805 52344327 87240545 97210893 112166415 157032981 162018155 226825417 261721635 291632679 421247203 486054465 680476251 785164905 1134127085 1263741609 1458163395 2041428753 2106236015 2948730421 3402381255 3791224827 6318708045 8846191263 10207143765 14743652105 18956124135 26538573789 44230956315 132692868945