Search a number
-
+
21338426808 = 233531213517
BaseRepresentation
bin10011110111110111…
…101000110110111000
32001002010000101200000
4103313313220312320
5322200114124213
613445220313000
71353533430606
oct236767506670
961063011600
1021338426808
11905aa92986
124176242760
132020a7836a
141065d6a876
1584d4ebc73
hex4f7de8db8

21338426808 has 96 divisors (see below), whose sum is σ = 59968250160. Its totient is φ = 7108508160.

The previous prime is 21338426803. The next prime is 21338426839. The reversal of 21338426808 is 80862483312.

21338426808 is a `hidden beast` number, since 2 + 1 + 3 + 384 + 268 + 0 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21338426803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6065466 + ... + 6068982.

Almost surely, 221338426808 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 21338426808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29984125080).

21338426808 is an abundant number, since it is smaller than the sum of its proper divisors (38629823352).

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

21338426808 is a wasteful number, since it uses less digits than its factorization.

21338426808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6659 (or 6643 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 21338426808 in words is "twenty-one billion, three hundred thirty-eight million, four hundred twenty-six thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 972 1944 3121 3517 6242 7034 9363 10551 12484 14068 18726 21102 24968 28089 28136 31653 37452 42204 56178 63306 74904 84267 84408 94959 112356 126612 168534 189918 224712 252801 253224 284877 337068 379836 505602 569754 674136 758403 759672 854631 1011204 1139508 1516806 1709262 2022408 2279016 3033612 3418524 6067224 6837048 10976557 21953114 32929671 43906228 65859342 87812456 98789013 131718684 197578026 263437368 296367039 395156052 592734078 790312104 889101117 1185468156 1778202234 2370936312 2667303351 3556404468 5334606702 7112808936 10669213404 21338426808