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28050112116 = 223213234163559
BaseRepresentation
bin11010000111111010…
…101011111001110100
32200101212020100001100
4122013322223321310
5424421312041431
620515215130100
72012052006345
oct320772537164
980355210040
1028050112116
1110994614444
125529b13930
1328504151a0
1415014b60cc
15ae28644e6
hex687eabe74

28050112116 has 144 divisors (see below), whose sum is σ = 81623243520. Its totient is φ = 8054069760.

The previous prime is 28050112109. The next prime is 28050112117. The reversal of 28050112116 is 61121105082.

28050112116 is a `hidden beast` number, since 28 + 0 + 501 + 121 + 16 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 28050112116.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28050112117) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 409545 + ... + 473103.

It is an arithmetic number, because the mean of its divisors is an integer number (566828080).

Almost surely, 228050112116 is an apocalyptic number.

28050112116 is a gapful number since it is divisible by the number (26) 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 28050112116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40811621760).

28050112116 is an abundant number, since it is smaller than the sum of its proper divisors (53573131404).

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

28050112116 is a wasteful number, since it uses less digits than its factorization.

28050112116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63646 (or 63641 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

Adding to 28050112116 its reverse (61121105082), we get a palindrome (89171217198).

The spelling of 28050112116 in words is "twenty-eight billion, fifty million, one hundred twelve thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 13 18 23 26 36 39 41 46 52 69 78 82 92 117 123 138 156 164 207 234 246 276 299 369 414 468 492 533 598 738 828 897 943 1066 1196 1476 1599 1794 1886 2132 2691 2829 3198 3588 3772 4797 5382 5658 6396 8487 9594 10764 11316 12259 16974 19188 24518 33948 36777 49036 63559 73554 110331 127118 147108 190677 220662 254236 381354 441324 572031 762708 826267 1144062 1461857 1652534 2288124 2478801 2605919 2923714 3305068 4385571 4957602 5211838 5847428 7436403 7817757 8771142 9915204 10423676 13156713 14872806 15635514 17542284 19004141 23453271 26313426 29745612 31271028 33876947 38008282 46906542 52626852 57012423 59936137 67753894 76016564 93813084 101630841 114024846 119872274 135507788 171037269 179808411 203261682 228049692 239744548 304892523 342074538 359616822 406523364 539425233 609785046 684149076 719233644 779169781 1078850466 1219570092 1558339562 2157700932 2337509343 3116679124 4675018686 7012528029 9350037372 14025056058 28050112116