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13223582080 = 27573349811
BaseRepresentation
bin11000101000010111…
…11101100110000000
31021010120111120102021
430110023331212000
5204040214111310
610024055131224
7645456410302
oct142413754600
937116446367
1013223582080
115676404a35
122690673b14
1313297c49a7
148d6329972
15525db85da
hex3142fd980

13223582080 has 128 divisors (see below), whose sum is σ = 32177124000. Its totient is φ = 5195612160.

The previous prime is 13223582051. The next prime is 13223582093. The reversal of 13223582080 is 8028532231.

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

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, 16304875 + ... + 16305685.

Almost surely, 213223582080 is an apocalyptic number.

13223582080 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 13223582080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16088562000).

13223582080 is an abundant number, since it is smaller than the sum of its proper divisors (18953541920).

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

13223582080 is an equidigital number, since it uses as much as digits as its factorization.

13223582080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1252 (or 1240 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The spelling of 13223582080 in words is "thirteen billion, two hundred twenty-three million, five hundred eighty-two thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 73 80 128 146 160 292 320 349 365 584 640 698 730 811 1168 1396 1460 1622 1745 2336 2792 2920 3244 3490 4055 4672 5584 5840 6488 6980 8110 9344 11168 11680 12976 13960 16220 22336 23360 25477 25952 27920 32440 44672 46720 50954 51904 55840 59203 64880 101908 103808 111680 118406 127385 129760 203816 223360 236812 254770 259520 283039 296015 407632 473624 509540 519040 566078 592030 815264 947248 1019080 1132156 1184060 1415195 1630528 1894496 2038160 2264312 2368120 2830390 3261056 3788992 4076320 4528624 4736240 5660780 7577984 8152640 9057248 9472480 11321560 16305280 18114496 18944960 20661847 22643120 36228992 37889920 41323694 45286240 82647388 90572480 103309235 165294776 181144960 206618470 330589552 413236940 661179104 826473880 1322358208 1652947760 2644716416 3305895520 6611791040 13223582080