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20380248725760 = 28365711299781
BaseRepresentation
bin1001010001001001001010…
…11111000101100100000000
32200011022222120112012000000
410220210211133011210000
510132402222133211020
6111202320152000000
74202265363612660
oct450444537054400
980138876465000
1020380248725760
1165482401037a0
1223519b4090000
13b4ab06931b51
145065a31a21a0
1525520c795090
hex1289257c5900

20380248725760 has 2016 divisors, whose sum is σ = 94408795918080. Its totient is φ = 4088409292800.

The previous prime is 20380248725743. The next prime is 20380248725791. The reversal of 20380248725760 is 6752784208302.

20380248725760 is a `hidden beast` number, since 2 + 0 + 3 + 80 + 2 + 487 + 25 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 20380248725697 and 20380248725706.

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 223 ways as a sum of consecutive naturals, for example, 2083652070 + ... + 2083661850.

It is an arithmetic number, because the mean of its divisors is an integer number (46829759880).

Almost surely, 220380248725760 is an apocalyptic number.

20380248725760 is a gapful number since it is divisible by the number (20) 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 20380248725760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47204397959040).

20380248725760 is an abundant number, since it is smaller than the sum of its proper divisors (74028547192320).

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

20380248725760 is an equidigital number, since it uses as much as digits as its factorization.

20380248725760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9867 (or 9838 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 20380248725760 in words is "twenty trillion, three hundred eighty billion, two hundred forty-eight million, seven hundred twenty-five thousand, seven hundred sixty".