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12303734560 = 2551319330649
BaseRepresentation
bin10110111010101110…
…00001011100100000
31011202110122110211121
423131113001130200
5200144224001220
65352515422024
7613620006145
oct133527013440
934673573747
1012303734560
115244156977
1224745b4914
13121106c410
1484a0c43cc
154c026aeaa
hex2dd5c1720

12303734560 has 96 divisors (see below), whose sum is σ = 31466761200. Its totient is φ = 4519231488.

The previous prime is 12303734549. The next prime is 12303734617. The reversal of 12303734560 is 6543730321.

It can be written as a sum of positive squares in 8 ways, for example, as 43930384 + 12259804176 = 6628^2 + 110724^2 .

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, 386116 + ... + 416764.

Almost surely, 212303734560 is an apocalyptic number.

12303734560 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 12303734560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15733380600).

12303734560 is an abundant number, since it is smaller than the sum of its proper divisors (19163026640).

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

12303734560 is a wasteful number, since it uses less digits than its factorization.

12303734560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30870 (or 30862 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 34.

The spelling of 12303734560 in words is "twelve billion, three hundred three million, seven hundred thirty-four thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 193 208 260 386 416 520 772 965 1040 1544 1930 2080 2509 3088 3860 5018 6176 7720 10036 12545 15440 20072 25090 30649 30880 40144 50180 61298 80288 100360 122596 153245 200720 245192 306490 398437 401440 490384 612980 796874 980768 1225960 1593748 1992185 2451920 3187496 3984370 4903840 5915257 6374992 7968740 11830514 12749984 15937480 23661028 29576285 31874960 47322056 59152570 63749920 76898341 94644112 118305140 153796682 189288224 236610280 307593364 384491705 473220560 615186728 768983410 946441120 1230373456 1537966820 2460746912 3075933640 6151867280 12303734560