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132338071089 = 327217210192
BaseRepresentation
bin111101100111111110…
…1101011011000110001
3110122120212102120012100
41323033331223120301
54132012021233324
6140443440051013
712363314021100
oct1731775533061
9418525376170
10132338071089
1151140433594
1221793903a69
13c6303b9553
146595c08037
1536982554c9
hex1ecff6b631

132338071089 has 81 divisors (see below), whose sum is σ = 236445665547. Its totient is φ = 71103570048.

The previous prime is 132338071081. The next prime is 132338071111. The reversal of 132338071089 is 980170833231.

It is a happy number.

The square root of 132338071089 is 363783.

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., 103031370225 + 29306700864 = 320985^2 + 171192^2 .

It is not a de Polignac number, because 132338071089 - 23 = 132338071081 is a prime.

It is not an unprimeable number, because it can be changed into a prime (132338071081) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 129870022 + ... + 129871040.

Almost surely, 2132338071089 is an apocalyptic number.

132338071089 is the 363783-rd square number.

132338071089 is the 181892-nd centered octagonal number.

It is an amenable number.

132338071089 is a deficient number, since it is larger than the sum of its proper divisors (104107594458).

132338071089 is an equidigital number, since it uses as much as digits as its factorization.

132338071089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2092 (or 1046 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 132338071089 in words is "one hundred thirty-two billion, three hundred thirty-eight million, seventy-one thousand, eighty-nine".

Divisors: 1 3 7 9 17 21 49 51 63 119 147 153 289 357 441 833 867 1019 1071 2023 2499 2601 3057 6069 7133 7497 9171 14161 17323 18207 21399 42483 49931 51969 64197 121261 127449 149793 155907 294491 363783 449379 848827 883473 1038361 1091349 2061437 2546481 2650419 3115083 6184311 7268527 7639443 9345249 14430059 17652137 18552933 21805581 43290177 50879689 52956411 65416743 123564959 129870531 152639067 158869233 300086329 370694877 457917201 864954713 900258987 1112084631 2100604303 2594864139 2700776961 6301812909 7784592417 14704230121 18905438727 44112690363 132338071089