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12349007808 = 263175097433
BaseRepresentation
bin10111000000000111…
…01110011111000000
31011212121211121001120
423200003232133000
5200242321222213
65401214032240
7615006556134
oct134003563700
934777747046
1012349007808
115267769385
1224877a8680
13121a561217
1485210b3c4
154c4210423
hex2e00ee7c0

12349007808 has 112 divisors (see below), whose sum is σ = 34668012960. Its totient is φ = 3866066944.

The previous prime is 12349007789. The next prime is 12349007813. The reversal of 12349007808 is 80870094321.

It is a self number, because there is not a number n which added to its sum of digits gives 12349007808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1657660 + ... + 1665092.

It is an arithmetic number, because the mean of its divisors is an integer number (309535830).

Almost surely, 212349007808 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 12349007808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17334006480).

12349007808 is an abundant number, since it is smaller than the sum of its proper divisors (22319005152).

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

12349007808 is a wasteful number, since it uses less digits than its factorization.

12349007808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7974 (or 7964 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The spelling of 12349007808 in words is "twelve billion, three hundred forty-nine million, seven thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 192 204 272 408 509 544 816 1018 1088 1527 1632 2036 3054 3264 4072 6108 7433 8144 8653 12216 14866 16288 17306 22299 24432 25959 29732 32576 34612 44598 48864 51918 59464 69224 89196 97728 103836 118928 126361 138448 178392 207672 237856 252722 276896 356784 379083 415344 475712 505444 553792 713568 758166 830688 1010888 1427136 1516332 1661376 2021776 3032664 3783397 4043552 6065328 7566794 8087104 11350191 12130656 15133588 22700382 24261312 30267176 45400764 60534352 64317749 90801528 121068704 128635498 181603056 192953247 242137408 257270996 363206112 385906494 514541992 726412224 771812988 1029083984 1543625976 2058167968 3087251952 4116335936 6174503904 12349007808