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132374238912 = 26321729597901
BaseRepresentation
bin111101101001000011…
…1101001011011000000
3110122200101111002010100
41323102013221123000
54132100301121122
6140451211202400
712364233315456
oct1732207513300
9418611432110
10132374238912
1151159896a53
12217a3a46400
13c637a40a26
14659a9409d6
15369b4ebaac
hex1ed21e96c0

132374238912 has 336 divisors, whose sum is σ = 422696944800. Its totient is φ = 39412531200.

The previous prime is 132374238907. The next prime is 132374238949. The reversal of 132374238912 is 219832473231.

132374238912 is a `hidden beast` number, since 1 + 32 + 374 + 238 + 9 + 12 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16750162 + ... + 16758062.

Almost surely, 2132374238912 is an apocalyptic number.

132374238912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132374238912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211348472400).

132374238912 is an abundant number, since it is smaller than the sum of its proper divisors (290322705888).

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

132374238912 is a wasteful number, since it uses less digits than its factorization.

132374238912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8024 (or 8011 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The spelling of 132374238912 in words is "one hundred thirty-two billion, three hundred seventy-four million, two hundred thirty-eight thousand, nine hundred twelve".