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132285691521 = 3241229572
BaseRepresentation
bin111101100110011010…
…1110111011010000001
3110122110012212101221100
41323030311313122001
54131410114112041
6140434325245013
712362106553014
oct1731465673201
9418405771840
10132285691521
1151113907a95
122177a263769
13c6225aa019
14658cc9137b
15369385a6b6
hex1eccd77681

132285691521 has 27 divisors (see below), whose sum is σ = 195919729993. Its totient is φ = 86010377280.

The previous prime is 132285691453. The next prime is 132285691547. The reversal of 132285691521 is 125196582231.

The square root of 132285691521 is 363711.

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

132285691521 is a `hidden beast` number, since 1 + 32 + 2 + 8 + 5 + 6 + 91 + 521 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 81644490225 + 50641201296 = 285735^2 + 225036^2 .

It is not a de Polignac number, because 132285691521 - 233 = 123695756929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (132285699521) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 44734975 + ... + 44737931.

Almost surely, 2132285691521 is an apocalyptic number.

132285691521 is the 363711-st square number.

132285691521 is the 181856-th centered octagonal number.

It is an amenable number.

132285691521 is a deficient number, since it is larger than the sum of its proper divisors (63634038472).

132285691521 is an frugal number, since it uses more digits than its factorization.

132285691521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6002 (or 3001 counting only the distinct ones).

The product of its digits is 259200, while the sum is 45.

The spelling of 132285691521 in words is "one hundred thirty-two billion, two hundred eighty-five million, six hundred ninety-one thousand, five hundred twenty-one".

Divisors: 1 3 9 41 123 369 1681 2957 5043 8871 15129 26613 121237 363711 1091133 4970717 8743849 14912151 26231547 44736453 78694641 358497809 1075493427 3226480281 14698410169 44095230507 132285691521