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13704366768 = 2434131122391
BaseRepresentation
bin11001100001101100…
…00000101010110000
31022101002011222000120
430300312000222300
5211031304214033
610143512050240
7663415124031
oct146066005260
938332158016
1013704366768
1158a2837654
1227a5693980
1313a52ac881
1494011ca88
155531d81b3
hex330d80ab0

13704366768 has 80 divisors (see below), whose sum is σ = 36384671232. Its totient is φ = 4442176000.

The previous prime is 13704366743. The next prime is 13704366769. The reversal of 13704366768 is 86766340731.

It is a self number, because there is not a number n which added to its sum of digits gives 13704366768.

It is not an unprimeable number, because it can be changed into a prime (13704366769) 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 15 ways as a sum of consecutive naturals, for example, 600853 + ... + 623243.

Almost surely, 213704366768 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 13704366768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18192335616).

13704366768 is an abundant number, since it is smaller than the sum of its proper divisors (22680304464).

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

13704366768 is a wasteful number, since it uses less digits than its factorization.

13704366768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22754 (or 22748 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 51.

The spelling of 13704366768 in words is "thirteen billion, seven hundred four million, three hundred sixty-six thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 123 164 246 311 328 492 622 656 933 984 1244 1866 1968 2488 3732 4976 7464 12751 14928 22391 25502 38253 44782 51004 67173 76506 89564 102008 134346 153012 179128 204016 268692 306024 358256 537384 612048 918031 1074768 1836062 2754093 3672124 5508186 6963601 7344248 11016372 13927202 14688496 20890803 22032744 27854404 41781606 44065488 55708808 83563212 111417616 167126424 285507641 334252848 571015282 856522923 1142030564 1713045846 2284061128 3426091692 4568122256 6852183384 13704366768