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13909065368 = 231119311491801
BaseRepresentation
bin11001111010000101…
…10111111010011000
31022220100100201201012
430331002313322120
5211441210042433
610220103313052
71001452050662
oct147502677230
938810321635
1013909065368
115998339750
12284214b788
1314088206c3
1495d3a5532
1556616e848
hex33d0b7e98

13909065368 has 128 divisors (see below), whose sum is σ = 31138560000. Its totient is φ = 5754240000.

The previous prime is 13909065343. The next prime is 13909065371. The reversal of 13909065368 is 86356090931.

It is a super-2 number, since 2×139090653682 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7722068 + ... + 7723868.

It is an arithmetic number, because the mean of its divisors is an integer number (243270000).

Almost surely, 213909065368 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 13909065368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15569280000).

13909065368 is an abundant number, since it is smaller than the sum of its proper divisors (17229494632).

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

13909065368 is a wasteful number, since it uses less digits than its factorization.

13909065368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2017 (or 2013 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 50.

The spelling of 13909065368 in words is "thirteen billion, nine hundred nine million, sixty-five thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 11 19 22 31 38 44 62 76 88 124 149 152 209 248 298 341 418 589 596 682 836 1178 1192 1364 1639 1672 1801 2356 2728 2831 3278 3602 4619 4712 5662 6479 6556 7204 9238 11324 12958 13112 14408 18476 19811 22648 25916 31141 34219 36952 39622 50809 51832 55831 62282 68438 79244 87761 101618 111662 124564 136876 158488 175522 203236 223324 249128 268349 273752 351044 376409 406472 446648 536698 614141 702088 752818 965371 1060789 1073396 1228282 1505636 1930742 2121578 2146792 2456564 2951839 3011272 3861484 4243156 4913128 5098631 5903678 7722968 8318819 8486312 10197262 11668679 11807356 16637638 20394524 23337358 23614712 33275276 40789048 46674716 56084941 66550552 91507009 93349432 112169882 158057561 183014018 224339764 316115122 366028036 448679528 632230244 732056072 1264460488 1738633171 3477266342 6954532684 13909065368