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110028066880 = 2653183133633
BaseRepresentation
bin110011001111000101…
…1110001000001000000
3101112000001012220220011
41212132023301001000
53300314141120010
6122313551154304
710643412065044
oct1463613610100
9345001186804
10110028066880
1142731a80186
12193a8215994
13a4b6276024
14547ac0c024
152cde7dda8a
hex199e2f1040

110028066880 has 112 divisors (see below), whose sum is σ = 273716642304. Its totient is φ = 42078044160.

The previous prime is 110028066847. The next prime is 110028066887. The reversal of 110028066880 is 88660820011.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (110028066887) 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, 756544 + ... + 890176.

It is an arithmetic number, because the mean of its divisors is an integer number (2443898592).

Almost surely, 2110028066880 is an apocalyptic number.

110028066880 is a gapful number since it is divisible by the number (10) 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 110028066880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136858321152).

110028066880 is an abundant number, since it is smaller than the sum of its proper divisors (163688575424).

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

110028066880 is a wasteful number, since it uses less digits than its factorization.

110028066880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133764 (or 133754 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 40.

Adding to 110028066880 its reverse (88660820011), we get a palindrome (198688886891).

The spelling of 110028066880 in words is "one hundred ten billion, twenty-eight million, sixty-six thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 83 124 155 160 166 248 310 320 332 415 496 620 664 830 992 1240 1328 1660 1984 2480 2573 2656 3320 4960 5146 5312 6640 9920 10292 12865 13280 20584 25730 26560 41168 51460 82336 102920 133633 164672 205840 267266 411680 534532 668165 823360 1069064 1336330 2138128 2672660 4142623 4276256 5345320 8285246 8552512 10690640 11091539 16570492 20713115 21381280 22183078 33140984 41426230 42762560 44366156 55457695 66281968 82852460 88732312 110915390 132563936 165704920 177464624 221830780 265127872 331409840 343837709 354929248 443661560 662819680 687675418 709858496 887323120 1325639360 1375350836 1719188545 1774646240 2750701672 3438377090 3549292480 5501403344 6876754180 11002806688 13753508360 22005613376 27507016720 55014033440 110028066880