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13403349504 = 29331516421
BaseRepresentation
bin11000111101110011…
…01110001000000000
31021121002202200222000
430132321232020000
5204422224141004
610054000144000
7653101406466
oct143671561000
937532680860
1013403349504
115758928956
122720908000
131357b16a4c
14912162836
15536a77c39
hex31ee6e200

13403349504 has 160 divisors (see below), whose sum is σ = 39943812480. Its totient is φ = 4437504000.

The previous prime is 13403349473. The next prime is 13403349649. The reversal of 13403349504 is 40594330431.

13403349504 is a `hidden beast` number, since 134 + 0 + 33 + 495 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 2084214 + ... + 2090634.

It is an arithmetic number, because the mean of its divisors is an integer number (249648828).

Almost surely, 213403349504 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 13403349504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19971906240).

13403349504 is an abundant number, since it is smaller than the sum of its proper divisors (26540462976).

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

13403349504 is an equidigital number, since it uses as much as digits as its factorization.

13403349504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6599 (or 6577 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

Adding to 13403349504 its reverse (40594330431), we get a palindrome (53997679935).

The spelling of 13403349504 in words is "thirteen billion, four hundred three million, three hundred forty-nine thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 151 192 216 256 288 302 384 432 453 512 576 604 768 864 906 1152 1208 1359 1536 1728 1812 2304 2416 2718 3456 3624 4077 4608 4832 5436 6421 6912 7248 8154 9664 10872 12842 13824 14496 16308 19263 19328 21744 25684 28992 32616 38526 38656 43488 51368 57789 57984 65232 77052 77312 86976 102736 115578 115968 130464 154104 173367 173952 205472 231156 231936 260928 308208 346734 347904 410944 462312 521856 616416 693468 695808 821888 924624 969571 1043712 1232832 1386936 1643776 1849248 1939142 2087424 2465664 2773872 2908713 3287552 3698496 3878284 4931328 5547744 5817426 7396992 7756568 8726139 9862656 11095488 11634852 14793984 15513136 17452278 22190976 23269704 26178417 29587968 31026272 34904556 44381952 46539408 52356834 62052544 69809112 88763904 93078816 104713668 124105088 139618224 186157632 209427336 248210176 279236448 372315264 418854672 496420352 558472896 744630528 837709344 1116945792 1489261056 1675418688 2233891584 3350837376 4467783168 6701674752 13403349504