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13327613468 = 22134767199409
BaseRepresentation
bin11000110100110001…
…10011111000011100
31021101211020220122122
430122120303320130
5204243332112333
610042253002112
7651161562641
oct143230637034
937354226578
1013327613468
11571a0aa294
1226bb483338
13134521a420
14906089dc8
155300b7798
hex31a633e1c

13327613468 has 96 divisors (see below), whose sum is σ = 26229504000. Its totient is φ = 5886245376.

The previous prime is 13327613461. The next prime is 13327613477. The reversal of 13327613468 is 86431672331.

13327613468 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13327613461) 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 31 ways as a sum of consecutive naturals, for example, 32585648 + ... + 32586056.

It is an arithmetic number, because the mean of its divisors is an integer number (273224000).

Almost surely, 213327613468 is an apocalyptic number.

It is an amenable number.

13327613468 is a deficient number, since it is larger than the sum of its proper divisors (12901890532).

13327613468 is a wasteful number, since it uses less digits than its factorization.

13327613468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739 (or 737 counting only the distinct ones).

The product of its digits is 435456, while the sum is 44.

The spelling of 13327613468 in words is "thirteen billion, three hundred twenty-seven million, six hundred thirteen thousand, four hundred sixty-eight".

Divisors: 1 2 4 13 26 47 52 67 94 134 188 199 268 398 409 611 796 818 871 1222 1636 1742 2444 2587 3149 3484 5174 5317 6298 9353 10348 10634 12596 13333 18706 19223 21268 26666 27403 37412 38446 40937 53332 54806 76892 81391 81874 109612 121589 162782 163748 173329 243178 249899 325564 346658 356239 486356 499798 626651 693316 712478 999596 1058083 1253302 1287941 1424956 2116166 2506604 2575882 3825377 4232332 5151764 5453197 7650754 8146463 10906394 15301508 16292926 16743233 21812788 32585852 33486466 49729901 66972932 70891561 99459802 141783122 198919604 256300259 283566244 512600518 1025201036 3331903367 6663806734 13327613468