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132380174592 = 28321791991613
BaseRepresentation
bin111101101001001111…
…0010010100100000000
3110122200210122122100100
41323102132102210000
54132103311041332
6140451542322400
712364334626611
oct1732236224400
9418623578310
10132380174592
1151162180576
12217a5a29400
13c63903b673
14659b647c08
15369bcc067c
hex1ed2792900

132380174592 has 216 divisors, whose sum is σ = 385984872000. Its totient is φ = 43632635904.

The previous prime is 132380174587. The next prime is 132380174611. The reversal of 132380174592 is 295471083231.

It is a happy number.

132380174592 is a `hidden beast` number, since 13 + 2 + 38 + 0 + 17 + 4 + 592 = 666.

132380174592 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82069978 + ... + 82071590.

It is an arithmetic number, because the mean of its divisors is an integer number (1786967000).

Almost surely, 2132380174592 is an apocalyptic number.

132380174592 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 132380174592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192992436000).

132380174592 is an abundant number, since it is smaller than the sum of its proper divisors (253604697408).

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

132380174592 is a wasteful number, since it uses less digits than its factorization.

132380174592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2013 (or 1996 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 132380174592 in words is "one hundred thirty-two billion, three hundred eighty million, one hundred seventy-four thousand, five hundred ninety-two".