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20383048224 = 25337211223173
BaseRepresentation
bin10010111110111011…
…001010001000100000
31221121112022010122000
4102332323022020200
5313221030020344
613210331244000
71321053023400
oct227673121040
957545263560
1020383048224
11870a776900
123b4a2a9600
131bcab623a6
14db5116800
157e46d1a69
hex4beeca220

20383048224 has 864 divisors, whose sum is σ = 79778805120. Its totient is φ = 5034839040.

The previous prime is 20383048193. The next prime is 20383048241. The reversal of 20383048224 is 42284038302.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 117821002 + ... + 117821174.

It is an arithmetic number, because the mean of its divisors is an integer number (92336580).

Almost surely, 220383048224 is an apocalyptic number.

20383048224 is a gapful number since it is divisible by the number (24) 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 20383048224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39889402560).

20383048224 is an abundant number, since it is smaller than the sum of its proper divisors (59395756896).

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

20383048224 is a wasteful number, since it uses less digits than its factorization.

20383048224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 20383048224 in words is "twenty billion, three hundred eighty-three million, forty-eight thousand, two hundred twenty-four".