Search a number
-
+
132470964000 = 25375319797
BaseRepresentation
bin111101101011111100…
…0100111111100100000
3110122221010111020000000
41323113320213330200
54132300031322000
6140504544300000
712366516421014
oct1732770477440
9418833436000
10132470964000
11511a9450a41
1221810311600
13c651aa89cb
1465a971c544
1536a4c56000
hex1ed7e27f20

132470964000 has 768 divisors, whose sum is σ = 514484006400. Its totient is φ = 33424358400.

The previous prime is 132470963969. The next prime is 132470964001. The reversal of 132470964000 is 469074231.

132470964000 is a `hidden beast` number, since 1 + 3 + 2 + 4 + 7 + 0 + 9 + 640 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (132470964001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 166211602 + ... + 166212398.

It is an arithmetic number, because the mean of its divisors is an integer number (669901050).

Almost surely, 2132470964000 is an apocalyptic number.

132470964000 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 132470964000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257242003200).

132470964000 is an abundant number, since it is smaller than the sum of its proper divisors (382013042400).

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

132470964000 is an frugal number, since it uses more digits than its factorization.

132470964000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 132470964000 in words is "one hundred thirty-two billion, four hundred seventy million, nine hundred sixty-four thousand".