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12808833000 = 2335316132647
BaseRepresentation
bin10111110110111011…
…10100011111101000
31020001200002010122020
423323131310133220
5202213030124000
65515001424440
7632262166305
oct137335643750
936050063566
1012808833000
1154832858a7
12259579b120
1312918bb032
148972060ac
154ee78eba0
hex2fb7747e8

12808833000 has 128 divisors (see below), whose sum is σ = 40003441920. Its totient is φ = 3412281600.

The previous prime is 12808832989. The next prime is 12808833007. The reversal of 12808833000 is 33880821.

It is not an unprimeable number, because it can be changed into a prime (12808833007) 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, 4837677 + ... + 4840323.

It is an arithmetic number, because the mean of its divisors is an integer number (312526890).

Almost surely, 212808833000 is an apocalyptic number.

12808833000 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 12808833000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20001720960).

12808833000 is an abundant number, since it is smaller than the sum of its proper divisors (27194608920).

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

12808833000 is a wasteful number, since it uses less digits than its factorization.

12808833000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4284 (or 4270 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The spelling of 12808833000 in words is "twelve billion, eight hundred eight million, eight hundred thirty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 1613 2647 3000 3226 4839 5294 6452 7941 8065 9678 10588 12904 13235 15882 16130 19356 21176 24195 26470 31764 32260 38712 39705 40325 48390 52940 63528 64520 66175 79410 80650 96780 105880 120975 132350 158820 161300 193560 198525 201625 241950 264700 317640 322600 330875 397050 403250 483900 529400 604875 661750 794100 806500 967800 992625 1209750 1323500 1588200 1613000 1985250 2419500 2647000 3970500 4269611 4839000 7941000 8539222 12808833 17078444 21348055 25617666 34156888 42696110 51235332 64044165 85392220 102470664 106740275 128088330 170784440 213480550 256176660 320220825 426961100 512353320 533701375 640441650 853922200 1067402750 1280883300 1601104125 2134805500 2561766600 3202208250 4269611000 6404416500 12808833000