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28089181413040 = 24511591733127219
BaseRepresentation
bin1100110001100000001011…
…01011100001111010110000
310200110022002100102002102211
412120300011223201322300
512140203120420204130
6135423554121221504
75626243046365606
oct630600553417260
9120408070362384
1028089181413040
118a4a611695910
123197a56031894
131289a4c23a087
146d1748bd1876
1533a9e637da2a
hex198c05ae1eb0

28089181413040 has 160 divisors (see below), whose sum is σ = 72870730617600. Its totient is φ = 9983080565760.

The previous prime is 28089181413023. The next prime is 28089181413049. The reversal of 28089181413040 is 4031418198082.

It is a super-2 number, since 2×280891814130402 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (28089181413049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7418551 + ... + 10545769.

It is an arithmetic number, because the mean of its divisors is an integer number (455442066360).

Almost surely, 228089181413040 is an apocalyptic number.

28089181413040 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 28089181413040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36435365308800).

28089181413040 is an abundant number, since it is smaller than the sum of its proper divisors (44781549204560).

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

28089181413040 is a wasteful number, since it uses less digits than its factorization.

28089181413040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3127475 (or 3127469 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 49.

The spelling of 28089181413040 in words is "twenty-eight trillion, eighty-nine billion, one hundred eighty-one million, four hundred thirteen thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 59 80 88 110 118 173 176 220 236 295 346 440 472 590 649 692 865 880 944 1180 1298 1384 1730 1903 2360 2596 2768 3245 3460 3806 4720 5192 6490 6920 7612 9515 10207 10384 12980 13840 15224 19030 20414 25960 30448 38060 40828 51035 51920 76120 81656 102070 112277 152240 163312 204140 224554 408280 449108 561385 816560 898216 1122770 1796432 2245540 3127219 4491080 6254438 8982160 12508876 15636095 25017752 31272190 34399409 50035504 62544380 68798818 125088760 137597636 171997045 184505921 250177520 275195272 343994090 369011842 541008887 550390544 687988180 738023684 922529605 1082017774 1375976360 1476047368 1845059210 2029565131 2164035548 2705044435 2751952720 2952094736 3690118420 4059130262 4328071096 5410088870 5951097757 7380236840 8118260524 8656142192 10147825655 10820177740 11902195514 14760473680 16236521048 20295651310 21640355480 23804391028 29755488785 31919524333 32473042096 40591302620 43280710960 47608782056 59510977570 63839048666 81182605240 95217564112 119021955140 127678097332 159597621665 162365210480 238043910280 255356194664 319195243330 351114767663 476087820560 510712389328 638390486660 702229535326 1276780973320 1404459070652 1755573838315 2553561946640 2808918141304 3511147676630 5617836282608 7022295353260 14044590706520 28089181413040