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20330444421 = 34727696661
BaseRepresentation
bin10010111011110010…
…011111011010000101
31221110212022120210000
4102323302133122011
5313114043210141
613201211551513
71316543632500
oct227362373205
957425276700
1020330444421
118693007891
123b3475b599
131bbcca4a91
14dac142137
157dec905b6
hex4bbc9f685

20330444421 has 60 divisors (see below), whose sum is σ = 35379816780. Its totient is φ = 11600547840.

The previous prime is 20330444417. The next prime is 20330444437. The reversal of 20330444421 is 12444403302.

It is a happy number.

20330444421 is a `hidden beast` number, since 203 + 30 + 4 + 4 + 4 + 421 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 14403600225 + 5926844196 = 120015^2 + 76986^2 .

It is not a de Polignac number, because 20330444421 - 22 = 20330444417 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20330444401) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3048831 + ... + 3055491.

It is an arithmetic number, because the mean of its divisors is an integer number (589663613).

Almost surely, 220330444421 is an apocalyptic number.

20330444421 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

20330444421 is a deficient number, since it is larger than the sum of its proper divisors (15049372359).

20330444421 is an equidigital number, since it uses as much as digits as its factorization.

20330444421 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7456 (or 7440 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 20330444421 its reverse (12444403302), we get a palindrome (32774847723).

The spelling of 20330444421 in words is "twenty billion, three hundred thirty million, four hundred forty-four thousand, four hundred twenty-one".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 441 567 769 1323 2307 3969 5383 6661 6921 16149 19983 20763 37681 46627 48447 59949 62289 113043 139881 145341 179847 326389 339129 419643 436023 539541 979167 1017387 1258929 2937501 3052161 3776787 5122309 8812503 15366927 26437509 35856163 46100781 107568489 138302343 250993141 322705467 414907029 752979423 968116401 2258938269 2904349203 6776814807 20330444421