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13316366336 = 21371317863
BaseRepresentation
bin11000110011011011…
…11010000000000000
31021101001002111111012
430121231322000000
5204232442210321
610041211540052
7650664150320
oct143155720000
937331074435
1013316366336
115713818139
1226b775a628
131342ab0010
1490479d280
1552e0e505b
hex319b7a000

13316366336 has 112 divisors (see below), whose sum is σ = 32778582144. Its totient is φ = 5267718144.

The previous prime is 13316366333. The next prime is 13316366369. The reversal of 13316366336 is 63366361331.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×133163663362 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13316366293 and 13316366302.

It is not an unprimeable number, because it can be changed into a prime (13316366333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 736541 + ... + 754403.

It is an arithmetic number, because the mean of its divisors is an integer number (292665912).

Almost surely, 213316366336 is an apocalyptic number.

13316366336 is a gapful number since it is divisible by the number (16) 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 13316366336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16389291072).

13316366336 is an abundant number, since it is smaller than the sum of its proper divisors (19462215808).

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

13316366336 is an equidigital number, since it uses as much as digits as its factorization.

13316366336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17909 (or 17885 counting only the distinct ones).

The product of its digits is 314928, while the sum is 41.

The spelling of 13316366336 in words is "thirteen billion, three hundred sixteen million, three hundred sixty-six thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 182 208 224 256 364 416 448 512 728 832 896 1024 1456 1664 1792 2048 2912 3328 3584 4096 5824 6656 7168 8192 11648 13312 14336 17863 23296 26624 28672 35726 46592 53248 57344 71452 93184 106496 125041 142904 186368 232219 250082 285808 372736 464438 500164 571616 745472 928876 1000328 1143232 1625533 1857752 2000656 2286464 3251066 3715504 4001312 4572928 6502132 7431008 8002624 9145856 13004264 14862016 16005248 18291712 26008528 29724032 32010496 36583424 52017056 59448064 64020992 73166848 104034112 118896128 128041984 146333696 208068224 237792256 256083968 416136448 475584512 512167936 832272896 951169024 1024335872 1664545792 1902338048 3329091584 6658183168 13316366336