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132082091761 = 3634312
BaseRepresentation
bin111101100000010110…
…1001100011011110001
3110121221000202110120111
41323000231030123301
54131001003414021
6140402213341321
712354055153504
oct1730055143361
9417830673514
10132082091761
1151019996524
1221722037841
13c5bc3623a9
14656dc1313b
153680a3e8e1
hex1ec0b4c6f1

132082091761 has 3 divisors (see below), whose sum is σ = 132082455193. Its totient is φ = 132081728330.

The previous prime is 132082091759. The next prime is 132082091803. The reversal of 132082091761 is 167190280231.

The square root of 132082091761 is 363431.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is not a de Polignac number, because 132082091761 - 21 = 132082091759 is a prime.

It is a super-3 number, since 3×1320820917613 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (132088091761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 181716 + ... + 545146.

Almost surely, 2132082091761 is an apocalyptic number.

132082091761 is the 363431-st square number.

132082091761 is the 181716-th centered octagonal number.

It is an amenable number.

132082091761 is a deficient number, since it is larger than the sum of its proper divisors (363432).

132082091761 is an frugal number, since it uses more digits than its factorization.

132082091761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726862 (or 363431 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 40.

The spelling of 132082091761 in words is "one hundred thirty-two billion, eighty-two million, ninety-one thousand, seven hundred sixty-one".

Divisors: 1 363431 132082091761