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132104436000 = 2535367164309
BaseRepresentation
bin111101100001000001…
…0011011100100100000
3110121222120210200002220
41323002002123210200
54131022213423000
6140404332311040
712354446115165
oct1730202334440
9417876720086
10132104436000
1151030568039
1221729612480
13c5c3b86834
146572b8c06c
1536829a51a0
hex1ec209b920

132104436000 has 192 divisors, whose sum is σ = 439236120960. Its totient is φ = 34701849600.

The previous prime is 132104435987. The next prime is 132104436017. The reversal of 132104436000 is 634401231.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 721846 + ... + 886154.

It is an arithmetic number, because the mean of its divisors is an integer number (2287688130).

Almost surely, 2132104436000 is an apocalyptic number.

132104436000 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 132104436000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219618060480).

132104436000 is an abundant number, since it is smaller than the sum of its proper divisors (307131684960).

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

132104436000 is a wasteful number, since it uses less digits than its factorization.

132104436000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164404 (or 164386 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 132104436000 its reverse (634401231), we get a palindrome (132738837231).

The spelling of 132104436000 in words is "one hundred thirty-two billion, one hundred four million, four hundred thirty-six thousand".