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1868330016 = 25337244131
BaseRepresentation
bin110111101011100…
…0111010000100000
311211012120222222000
41233113013100200
512311243030031
6505220444000
764204354200
oct15727072040
94735528860
101868330016
11879694aa3
12441849600
1323a0c5727
1413a1c2400
15ae0543e6
hex6f5c7420

1868330016 has 144 divisors (see below), whose sum is σ = 6339120480. Its totient is φ = 533796480.

The previous prime is 1868330011. The next prime is 1868330027. The reversal of 1868330016 is 6100338681.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1868330011) 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, 20271 + ... + 64401.

It is an arithmetic number, because the mean of its divisors is an integer number (44021670).

Almost surely, 21868330016 is an apocalyptic number.

1868330016 is a gapful number since it is divisible by the number (16) 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 1868330016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3169560240).

1868330016 is an abundant number, since it is smaller than the sum of its proper divisors (4470790464).

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

1868330016 is a wasteful number, since it uses less digits than its factorization.

1868330016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44164 (or 44143 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1868330016 is about 43224.1832311497. The cubic root of 1868330016 is about 1231.6421136778.

Adding to 1868330016 its reverse (6100338681), we get a palindrome (7968668697).

The spelling of 1868330016 in words is "one billion, eight hundred sixty-eight million, three hundred thirty thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 72 84 96 98 108 112 126 144 147 168 189 196 216 224 252 288 294 336 378 392 432 441 504 588 672 756 784 864 882 1008 1176 1323 1512 1568 1764 2016 2352 2646 3024 3528 4704 5292 6048 7056 10584 14112 21168 42336 44131 88262 132393 176524 264786 308917 353048 397179 529572 617834 706096 794358 926751 1059144 1191537 1235668 1412192 1588716 1853502 2118288 2162419 2383074 2471336 2780253 3177432 3707004 4236576 4324838 4766148 4942672 5560506 6354864 6487257 7414008 8340759 8649676 9532296 9885344 11121012 12709728 12974514 14828016 16681518 17299352 19064592 19461771 22242024 25949028 29656032 33363036 34598704 38129184 38923542 44484048 51898056 58385313 66726072 69197408 77847084 88968096 103796112 116770626 133452144 155694168 207592224 233541252 266904288 311388336 467082504 622776672 934165008 1868330016