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10812290860 = 2257198214951
BaseRepresentation
bin10100001000111011…
…00111011100101100
31000220112020021201001
422010131213130230
5134120421301420
64544520530044
7531636645610
oct120435473454
930815207631
1010812290860
114649290178
122119020924
131034084857
14747dab340
15434361b0a
hex28476772c

10812290860 has 96 divisors (see below), whose sum is σ = 27354055680. Its totient is φ = 3506976000.

The previous prime is 10812290837. The next prime is 10812290911. The reversal of 10812290860 is 6809221801.

10812290860 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 2181385 + ... + 2186335.

It is an arithmetic number, because the mean of its divisors is an integer number (284938080).

Almost surely, 210812290860 is an apocalyptic number.

10812290860 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 10812290860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13677027840).

10812290860 is an abundant number, since it is smaller than the sum of its proper divisors (16541764820).

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

10812290860 is a wasteful number, since it uses less digits than its factorization.

10812290860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5807 (or 5805 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 37.

The spelling of 10812290860 in words is "ten billion, eight hundred twelve million, two hundred ninety thousand, eight hundred sixty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 133 140 190 266 380 532 665 821 1330 1642 2660 3284 4105 4951 5747 8210 9902 11494 15599 16420 19804 22988 24755 28735 31198 34657 49510 57470 62396 69314 77995 94069 99020 109193 114940 138628 155990 173285 188138 218386 311980 346570 376276 436772 470345 545965 658483 693140 940690 1091930 1316966 1881380 2183860 2633932 3292415 4064771 6584830 8129542 13169660 16259084 20323855 28453397 40647710 56906794 77230649 81295420 113813588 142266985 154461298 284533970 308922596 386153245 540614543 569067940 772306490 1081229086 1544612980 2162458172 2703072715 5406145430 10812290860