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132765211471 = 19732274091031
BaseRepresentation
bin111101110100101101…
…1000101101101001111
3110200200122011112122111
41323221123011231033
54133400343231341
6140554055124451
712410021451244
oct1735133055517
9420618145574
10132765211471
115133a556472
1221892973727
13c69aa41339
1465d68355cb
1536c09ca681
hex1ee96c5b4f

132765211471 has 32 divisors (see below), whose sum is σ = 142777612800. Its totient is φ = 123086615040.

The previous prime is 132765211441. The next prime is 132765211499. The reversal of 132765211471 is 174112567231.

It is a cyclic number.

It is not a de Polignac number, because 132765211471 - 213 = 132765203279 is a prime.

It is a super-3 number, since 3×1327652114713 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132765211441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128772726 + ... + 128773756.

It is an arithmetic number, because the mean of its divisors is an integer number (4461800400).

Almost surely, 2132765211471 is an apocalyptic number.

132765211471 is a deficient number, since it is larger than the sum of its proper divisors (10012401329).

132765211471 is a wasteful number, since it uses less digits than its factorization.

132765211471 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1759.

The product of its digits is 70560, while the sum is 40.

The spelling of 132765211471 in words is "one hundred thirty-two billion, seven hundred sixty-five million, two hundred eleven thousand, four hundred seventy-one".

Divisors: 1 19 73 227 409 1031 1387 4313 7771 16571 19589 29857 75263 92843 234037 314849 421679 567283 1429997 1764017 4446703 6777539 8011901 17084701 30782567 95721133 128773241 324609319 584868773 1818701527 6987642709 132765211471