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81298285848 = 233313107270583
BaseRepresentation
bin100101110110111000…
…0010110010100011000
321202211211001211101000
41023231300112110120
52312444330121343
6101203052225000
75605435012353
oct1135560262430
9252754054330
1081298285848
113152984349a
121390a76b160
1378880bc7b0
143d1337129a
1521ac470ed3
hex12edc16518

81298285848 has 128 divisors (see below), whose sum is σ = 245473804800. Its totient is φ = 24780981888.

The previous prime is 81298285829. The next prime is 81298285867. The reversal of 81298285848 is 84858289218.

81298285848 is a `hidden beast` number, since 8 + 1 + 29 + 8 + 28 + 584 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (81298285829) and next prime (81298285867).

It is a super-2 number, since 2×812982858482 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 165165 + ... + 435747.

It is an arithmetic number, because the mean of its divisors is an integer number (1917764100).

Almost surely, 281298285848 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 81298285848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122736902400).

81298285848 is an abundant number, since it is smaller than the sum of its proper divisors (164175518952).

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

81298285848 is a wasteful number, since it uses less digits than its factorization.

81298285848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270718 (or 270708 counting only the distinct ones).

The product of its digits is 23592960, while the sum is 63.

The spelling of 81298285848 in words is "eighty-one billion, two hundred ninety-eight million, two hundred eighty-five thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 107 108 117 156 214 216 234 312 321 351 428 468 642 702 856 936 963 1284 1391 1404 1926 2568 2782 2808 2889 3852 4173 5564 5778 7704 8346 11128 11556 12519 16692 23112 25038 33384 37557 50076 75114 100152 150228 270583 300456 541166 811749 1082332 1623498 2164664 2435247 3246996 3517579 4870494 6493992 7035158 7305741 9740988 10552737 14070316 14611482 19481976 21105474 28140632 28952381 29222964 31658211 42210948 57904762 58445928 63316422 84421896 86857143 94974633 115809524 126632844 173714286 189949266 231619048 253265688 260571429 347428572 376380953 379898532 521142858 694857144 752761906 759797064 781714287 1042285716 1129142859 1505523812 1563428574 2084571432 2258285718 3011047624 3126857148 3387428577 4516571436 6253714296 6774857154 9033142872 10162285731 13549714308 20324571462 27099428616 40649142924 81298285848