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132388344000 = 2635531141151
BaseRepresentation
bin111101101001011110…
…1011101000011000000
3110122201101000200200000
41323102331131003000
54132112404002000
6140452433400000
712364464233253
oct1732275350300
9418641020600
10132388344000
1151166850350
12217a8709000
13c63a93bc33
14659c77309a
15369c886000
hex1ed2f5d0c0

132388344000 has 1344 divisors, whose sum is σ = 552463801344. Its totient is φ = 31104000000.

The previous prime is 132388343993. The next prime is 132388344031. The reversal of 132388344000 is 443883231.

It is a happy number.

132388344000 is a `hidden beast` number, since 13 + 238 + 8 + 3 + 4 + 400 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 191 ways as a sum of consecutive naturals, for example, 876743925 + ... + 876744075.

It is an arithmetic number, because the mean of its divisors is an integer number (411059376).

Almost surely, 2132388344000 is an apocalyptic number.

132388344000 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 132388344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276231900672).

132388344000 is an abundant number, since it is smaller than the sum of its proper divisors (420075457344).

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

132388344000 is a wasteful number, since it uses less digits than its factorization.

132388344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 132388344000 in words is "one hundred thirty-two billion, three hundred eighty-eight million, three hundred forty-four thousand".