Search a number
-
+
18412037408 = 25174832
BaseRepresentation
bin10001001001011100…
…010110010100100000
31202112011111102002102
4101021130112110200
5300201440144113
612243001505532
71221160510232
oct211134262440
952464442072
1018412037408
11789912a246
12369a1a22a8
1319756c7bbb
14c69446252
1572b648758
hex449716520

18412037408 has 90 divisors (see below), whose sum is σ = 38983832559. Its totient is φ = 8560096768.

The previous prime is 18412037393. The next prime is 18412037453. The reversal of 18412037408 is 80473021481.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 17724129424 + 687907984 = 133132^2 + 26228^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=95948.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 221831735 + ... + 221831817.

Almost surely, 218412037408 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 18412037408

18412037408 is an abundant number, since it is smaller than the sum of its proper divisors (20571795151).

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

18412037408 is an frugal number, since it uses more digits than its factorization.

18412037408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 38.

Adding to 18412037408 its reverse (80473021481), we get a palindrome (98885058889).

The spelling of 18412037408 in words is "eighteen billion, four hundred twelve million, thirty-seven thousand, four hundred eight".

Divisors: 1 2 4 8 16 17 32 34 68 83 136 166 272 289 332 544 578 664 1156 1328 1411 2312 2656 2822 4624 4913 5644 6889 9248 9826 11288 13778 19652 22576 23987 27556 39304 45152 47974 55112 78608 83521 95948 110224 117113 157216 167042 191896 220448 234226 334084 383792 407779 468452 668168 767584 815558 936904 1336336 1631116 1873808 1990921 2672672 3262232 3747616 3981842 6524464 6932243 7963684 13048928 13864486 15927368 27728972 31854736 33845657 55457944 63709472 67691314 110915888 135382628 221831776 270765256 541530512 575376169 1083061024 1150752338 2301504676 4603009352 9206018704 18412037408