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16727232480 = 2535729415379
BaseRepresentation
bin11111001010000010…
…10100111111100000
31121011202020110012220
433211001110333200
5233224132414410
611403454351040
71131342062430
oct174501247740
947152213186
1016727232480
1171040a5382
1232a9abb480
13176763b9ca
14b497982c0
1567d797070
hex3e5054fe0

16727232480 has 768 divisors, whose sum is σ = 65840947200. Its totient is φ = 3488808960.

The previous prime is 16727232449. The next prime is 16727232481. The reversal of 16727232480 is 8423272761.

It is a happy number.

16727232480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16727232481) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 211737081 + ... + 211737159.

It is an arithmetic number, because the mean of its divisors is an integer number (85730400).

Almost surely, 216727232480 is an apocalyptic number.

16727232480 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 16727232480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32920473600).

16727232480 is an abundant number, since it is smaller than the sum of its proper divisors (49113714720).

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

16727232480 is a wasteful number, since it uses less digits than its factorization.

16727232480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The spelling of 16727232480 in words is "sixteen billion, seven hundred twenty-seven million, two hundred thirty-two thousand, four hundred eighty".