Search a number
-
+
21466127840 = 255539972539
BaseRepresentation
bin10011111111011110…
…110001110111100000
32001102000022021112212
4103333132301313200
5322430312042330
613510021341252
71356644035043
oct237736616740
961360267485
1021466127840
119116084623
1241b0b67828
13204136a5c1
141078cccc5a
15859824295
hex4ff7b1de0

21466127840 has 96 divisors (see below), whose sum is σ = 51742787040. Its totient is φ = 8412678144.

The previous prime is 21466127797. The next prime is 21466127843. The reversal of 21466127840 is 4872166412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21466127843) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8453291 + ... + 8455829.

It is an arithmetic number, because the mean of its divisors is an integer number (538987365).

Almost surely, 221466127840 is an apocalyptic number.

21466127840 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 21466127840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25871393520).

21466127840 is an abundant number, since it is smaller than the sum of its proper divisors (30276659200).

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

21466127840 is a wasteful number, since it uses less digits than its factorization.

21466127840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3604 (or 3596 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 41.

The spelling of 21466127840 in words is "twenty-one billion, four hundred sixty-six million, one hundred twenty-seven thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 80 106 160 212 265 424 530 848 997 1060 1696 1994 2120 2539 3988 4240 4985 5078 7976 8480 9970 10156 12695 15952 19940 20312 25390 31904 39880 40624 50780 52841 79760 81248 101560 105682 134567 159520 203120 211364 264205 269134 406240 422728 528410 538268 672835 845456 1056820 1076536 1345670 1690912 2113640 2153072 2531383 2691340 4227280 4306144 5062766 5382680 8454560 10125532 10765360 12656915 20251064 21530720 25313830 40502128 50627660 81004256 101255320 134163299 202510640 268326598 405021280 536653196 670816495 1073306392 1341632990 2146612784 2683265980 4293225568 5366531960 10733063920 21466127840