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13721348328 = 2333331171637
BaseRepresentation
bin11001100011101101…
…10010100011101000
31022102021010201100020
430301312302203220
5211100131121303
610145320040440
7664012351662
oct146166624350
938367121306
1013721348328
1159013860a6
1227ab303120
1313a897712c
1494249d532
1555493ea53
hex331db28e8

13721348328 has 32 divisors (see below), whose sum is σ = 34313868960. Its totient is φ = 4572383040.

The previous prime is 13721348197. The next prime is 13721348341. The reversal of 13721348328 is 82384312731.

It is a happy number.

13721348328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 13721348328.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5875 + ... + 165762.

It is an arithmetic number, because the mean of its divisors is an integer number (1072308405).

Almost surely, 213721348328 is an apocalyptic number.

It is an amenable number.

13721348328 is an abundant number, since it is smaller than the sum of its proper divisors (20592520632).

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

13721348328 is a wasteful number, since it uses less digits than its factorization.

13721348328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174977 (or 174973 counting only the distinct ones).

The product of its digits is 193536, while the sum is 42.

The spelling of 13721348328 in words is "thirteen billion, seven hundred twenty-one million, three hundred forty-eight thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 3331 6662 9993 13324 19986 26648 39972 79944 171637 343274 514911 686548 1029822 1373096 2059644 4119288 571722847 1143445694 1715168541 2286891388 3430337082 4573782776 6860674164 13721348328