Search a number
-
+
21124002432 = 2731311933547
BaseRepresentation
bin10011101011000101…
…101011001010000000
32000112011112111201110
4103223011223022000
5321230221034212
613412040403320
71345321025631
oct235305531200
960464474643
1021124002432
118a5aa48755
124116476540
131cb8510730
1410456b1888
15839793a3c
hex4eb16b280

21124002432 has 128 divisors (see below), whose sum is σ = 60494535360. Its totient is φ = 6492413952.

The previous prime is 21124002407. The next prime is 21124002451. The reversal of 21124002432 is 23420042112.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 21124002399 and 21124002408.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5953683 + ... + 5957229.

Almost surely, 221124002432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21124002432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30247267680).

21124002432 is an abundant number, since it is smaller than the sum of its proper divisors (39370532928).

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

21124002432 is a wasteful number, since it uses less digits than its factorization.

21124002432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4770 (or 4758 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 21124002432 its reverse (23420042112), we get a palindrome (44544044544).

The spelling of 21124002432 in words is "twenty-one billion, one hundred twenty-four million, two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 624 832 1193 1248 1664 2386 2496 3547 3579 4772 4992 7094 7158 9544 10641 14188 14316 15509 19088 21282 28376 28632 31018 38176 42564 46111 46527 56752 57264 62036 76352 85128 92222 93054 113504 114528 124072 138333 152704 170256 184444 186108 227008 229056 248144 276666 340512 368888 372216 454016 458112 496288 553332 681024 737776 744432 992576 1106664 1362048 1475552 1488864 1985152 2213328 2951104 2977728 4231571 4426656 5902208 5955456 8463142 8853312 12694713 16926284 17706624 25389426 33852568 50778852 55010423 67705136 101557704 110020846 135410272 165031269 203115408 220041692 270820544 330062538 406230816 440083384 541641088 660125076 812461632 880166768 1320250152 1624923264 1760333536 2640500304 3520667072 5281000608 7041334144 10562001216 21124002432