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13480350912 = 263371114447
BaseRepresentation
bin11001000110111110…
…11101010011000000
31021210110122210001000
430203133131103000
5210101432212122
610105350412000
7655025043420
oct144337352300
937713583030
1013480350912
115798341186
122742661000
13136aa67302
1491c488480
1553d6d80ac
hex3237dd4c0

13480350912 has 112 divisors (see below), whose sum is σ = 45291166720. Its totient is φ = 3851525376.

The previous prime is 13480350911. The next prime is 13480350931. The reversal of 13480350912 is 21905308431.

13480350912 is a `hidden beast` number, since 134 + 8 + 0 + 3 + 509 + 12 = 666.

13480350912 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13480350911) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 545128 + ... + 569319.

Almost surely, 213480350912 is an apocalyptic number.

13480350912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13480350912 is an abundant number, since it is smaller than the sum of its proper divisors (31810815808).

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

13480350912 is a wasteful number, since it uses less digits than its factorization.

13480350912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1114475 (or 1114459 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 13480350912 in words is "thirteen billion, four hundred eighty million, three hundred fifty thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 144 168 189 192 216 224 252 288 336 378 432 448 504 576 672 756 864 1008 1344 1512 1728 2016 3024 4032 6048 12096 1114447 2228894 3343341 4457788 6686682 7801129 8915576 10030023 13373364 15602258 17831152 20060046 23403387 26746728 30090069 31204516 35662304 40120092 46806774 53493456 60180138 62409032 70210161 71324608 80240184 93613548 106986912 120360276 124818064 140420322 160480368 187227096 210630483 213973824 240720552 249636128 280840644 320960736 374454192 421260966 481441104 499272256 561681288 641921472 748908384 842521932 962882208 1123362576 1497816768 1685043864 1925764416 2246725152 3370087728 4493450304 6740175456 13480350912