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132080462592 = 28313172413229
BaseRepresentation
bin111101100000010011…
…0111110101100000000
3110121220220200200202220
41323000212332230000
54131000044300332
6140402114411040
712354035256651
oct1730046765400
9417826620686
10132080462592
1151018a83501
1221721590a80
13c5bbc119a0
14656d90b528
15368081bd2c
hex1ec09beb00

132080462592 has 288 divisors, whose sum is σ = 402623686080. Its totient is φ = 38079037440.

The previous prime is 132080462539. The next prime is 132080462599. The reversal of 132080462592 is 295264080231.

It is a super-2 number, since 2×1320804625922 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (132080462599) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40902834 + ... + 40906062.

It is an arithmetic number, because the mean of its divisors is an integer number (1397998910).

Almost surely, 2132080462592 is an apocalyptic number.

132080462592 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 132080462592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201311843040).

132080462592 is an abundant number, since it is smaller than the sum of its proper divisors (270543223488).

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

132080462592 is a wasteful number, since it uses less digits than its factorization.

132080462592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3519 (or 3505 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 132080462592 in words is "one hundred thirty-two billion, eighty million, four hundred sixty-two thousand, five hundred ninety-two".