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7132320000 = 28335413127
BaseRepresentation
bin1101010010001111…
…01001000100000000
3200102001201101201000
412221013221010000
5104101333220000
63135422212000
7341513501601
oct65107510400
920361641630
107132320000
113030010643
121470724000
138988546c0
144b9361da8
152bb255000
hex1a91e9100

7132320000 has 720 divisors, whose sum is σ = 28606842880. Its totient is φ = 1741824000.

The previous prime is 7132319993. The next prime is 7132320031. The reversal of 7132320000 is 232317.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 56159937 + ... + 56160063.

Almost surely, 27132320000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7132320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14303421440).

7132320000 is an abundant number, since it is smaller than the sum of its proper divisors (21474522880).

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

7132320000 is a wasteful number, since it uses less digits than its factorization.

7132320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 7132320000 is about 84453.0638875820. The cubic root of 7132320000 is about 1924.9093115201.

Adding to 7132320000 its reverse (232317), we get a palindrome (7132552317).

The spelling of 7132320000 in words is "seven billion, one hundred thirty-two million, three hundred twenty thousand".