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13349103744 = 273101491701
BaseRepresentation
bin11000110111010101…
…10010100010000000
31021110022200201202210
430123222302202000
5204314332304434
610044341342120
7651542336544
oct143352624200
937408621683
1013349103744
115730248249
122706707940
131349802c72
14908c81a24
15531e0eee9
hex31bab2880

13349103744 has 128 divisors (see below), whose sum is σ = 35933751360. Its totient is φ = 4390400000.

The previous prime is 13349103743. The next prime is 13349103773. The reversal of 13349103744 is 44730194331.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (13349103743) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19042594 + ... + 19043294.

Almost surely, 213349103744 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 13349103744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17966875680).

13349103744 is an abundant number, since it is smaller than the sum of its proper divisors (22584647616).

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

13349103744 is a wasteful number, since it uses less digits than its factorization.

13349103744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1310 (or 1298 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 39.

The spelling of 13349103744 in words is "thirteen billion, three hundred forty-nine million, one hundred three thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 101 128 192 202 303 384 404 491 606 701 808 982 1212 1402 1473 1616 1964 2103 2424 2804 2946 3232 3928 4206 4848 5608 5892 6464 7856 8412 9696 11216 11784 12928 15712 16824 19392 22432 23568 31424 33648 38784 44864 47136 49591 62848 67296 70801 89728 94272 99182 134592 141602 148773 188544 198364 212403 269184 283204 297546 344191 396728 424806 566408 595092 688382 793456 849612 1032573 1132816 1190184 1376764 1586912 1699224 2065146 2265632 2380368 2753528 3173824 3398448 4130292 4531264 4760736 5507056 6347648 6796896 8260584 9062528 9521472 11014112 13593792 16521168 19042944 22028224 27187584 33042336 34763291 44056448 66084672 69526582 104289873 132169344 139053164 208579746 278106328 417159492 556212656 834318984 1112425312 1668637968 2224850624 3337275936 4449701248 6674551872 13349103744