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132383160000 = 263454713449
BaseRepresentation
bin111101101001010100…
…1101011011011000000
3110122201000021022120000
41323102221223123000
54132110042110000
6140452130320000
712364402202460
oct1732251533300
9418630238500
10132383160000
115116392a553
12217a6a29000
13c639845490
14659bbc3ba0
15369c1b0000
hex1ed2a6b6c0

132383160000 has 1400 divisors, whose sum is σ = 604882000800. Its totient is φ = 27869184000.

The previous prime is 132383159999. The next prime is 132383160031. The reversal of 132383160000 is 61383231.

It is a happy number.

132383160000 is a `hidden beast` number, since 1 + 3 + 23 + 8 + 31 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1400).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 199 ways as a sum of consecutive naturals, for example, 294839776 + ... + 294840224.

It is an arithmetic number, because the mean of its divisors is an integer number (432058572).

Almost surely, 2132383160000 is an apocalyptic number.

132383160000 is a gapful number since it is divisible by the number (10) 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 132383160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302441000400).

132383160000 is an abundant number, since it is smaller than the sum of its proper divisors (472498840800).

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

132383160000 is an equidigital number, since it uses as much as digits as its factorization.

132383160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

It can be divided in two parts, 1323831 and 60000, that added together give a palindrome (1383831).

The spelling of 132383160000 in words is "one hundred thirty-two billion, three hundred eighty-three million, one hundred sixty thousand".