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20330444420 = 225111318013947
BaseRepresentation
bin10010111011110010…
…011111011010000100
31221110212022120202222
4102323302133122010
5313114043210140
613201211551512
71316543632466
oct227362373204
957425276688
1020330444420
118693007890
123b3475b598
131bbcca4a90
14dac142136
157dec905b5
hex4bbc9f684

20330444420 has 96 divisors (see below), whose sum is σ = 50198472576. Its totient is φ = 6818688000.

The previous prime is 20330444417. The next prime is 20330444437. The reversal of 20330444420 is 2444403302.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 20330444420.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5148887 + ... + 5152833.

It is an arithmetic number, because the mean of its divisors is an integer number (522900756).

Almost surely, 220330444420 is an apocalyptic number.

20330444420 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 20330444420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25099236288).

20330444420 is an abundant number, since it is smaller than the sum of its proper divisors (29868028156).

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

20330444420 is a wasteful number, since it uses less digits than its factorization.

20330444420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5781 (or 5779 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 26.

Adding to 20330444420 its reverse (2444403302), we get a palindrome (22774847722).

The spelling of 20330444420 in words is "twenty billion, three hundred thirty million, four hundred forty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 220 260 286 572 715 1430 1801 2860 3602 3947 7204 7894 9005 15788 18010 19735 19811 23413 36020 39470 39622 43417 46826 51311 78940 79244 86834 93652 99055 102622 117065 173668 198110 205244 217085 234130 256555 257543 396220 434170 468260 513110 515086 564421 868340 1026220 1030172 1128842 1287715 2257684 2575430 2822105 5150860 5644210 7108547 11288420 14217094 28434188 35542735 71085470 78194017 92411111 142170940 156388034 184822222 312776068 369644444 390970085 462055555 781940170 924111110 1016522221 1563880340 1848222220 2033044442 4066088884 5082611105 10165222210 20330444420