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132804270720 = 27325114015227
BaseRepresentation
bin111101110101111000…
…0000101101010000000
3110200210100122221212100
41323223300011222000
54133440343130340
6141002012230400
712411004450512
oct1735360055200
9420710587770
10132804270720
115135a604240
12218a3a6b400
13c6a5b68914
1465dbac1bb2
1536c4143830
hex1eebc05a80

132804270720 has 384 divisors, whose sum is σ = 501623254080. Its totient is φ = 32108544000.

The previous prime is 132804270679. The next prime is 132804270733. The reversal of 132804270720 is 27072408231.

132804270720 is a `hidden beast` number, since 132 + 80 + 427 + 0 + 7 + 20 = 666.

132804270720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

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 (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25404747 + ... + 25409973.

Almost surely, 2132804270720 is an apocalyptic number.

132804270720 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 132804270720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250811627040).

132804270720 is an abundant number, since it is smaller than the sum of its proper divisors (368818983360).

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

132804270720 is a wasteful number, since it uses less digits than its factorization.

132804270720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5664 (or 5649 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

Adding to 132804270720 its reverse (27072408231), we get a palindrome (159876678951).

The spelling of 132804270720 in words is "one hundred thirty-two billion, eight hundred four million, two hundred seventy thousand, seven hundred twenty".