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21338302146 = 23721910337087
BaseRepresentation
bin10011110111110111…
…001010011011000010
32001002002210001122220
4103313313022123002
5322200101132041
613445213511510
71353532401300
oct236767123302
961062701586
1021338302146
11905aa08257
1241761a2596
132020a336b5
141065d37270
1584d4c4d66
hex4f7dca6c2

21338302146 has 96 divisors (see below), whose sum is σ = 52765839360. Its totient is φ = 5719551264.

The previous prime is 21338302133. The next prime is 21338302147. The reversal of 21338302146 is 64120383312.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (21338302147) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 556815 + ... + 593901.

It is an arithmetic number, because the mean of its divisors is an integer number (549644160).

Almost surely, 221338302146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21338302146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26382919680).

21338302146 is an abundant number, since it is smaller than the sum of its proper divisors (31427537214).

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

21338302146 is a wasteful number, since it uses less digits than its factorization.

21338302146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37228 (or 37221 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

Adding to 21338302146 its reverse (64120383312), we get a palindrome (85458685458).

The spelling of 21338302146 in words is "twenty-one billion, three hundred thirty-eight million, three hundred two thousand, one hundred forty-six".

Divisors: 1 2 3 6 7 14 19 21 38 42 49 57 98 103 114 133 147 206 266 294 309 399 618 721 798 931 1442 1862 1957 2163 2793 3914 4326 5047 5586 5871 10094 11742 13699 15141 27398 30282 37087 41097 74174 82194 95893 111261 191786 222522 259609 287679 519218 575358 704653 778827 1409306 1557654 1817263 2113959 3634526 3819961 4227918 4932571 5451789 7639922 9865142 10903578 11459883 14797713 22919766 26739727 29595426 34527997 53479454 69055994 72579259 80219181 103583991 145158518 160438362 187178089 207167982 217737777 374356178 435475554 508054813 561534267 1016109626 1123068534 1524164439 3048328878 3556383691 7112767382 10669151073 21338302146