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13400215605 = 325761136959
BaseRepresentation
bin11000111101011011…
…10001000000110101
31021120212212111001200
430132231301000311
5204420423344410
610053405043113
7653032644660
oct143655610065
937525774050
1013400215605
115757088357
12271b856499
13135728a47a
149119886d7
155366593c0
hex31eb71035

13400215605 has 48 divisors (see below), whose sum is σ = 26553346560. Its totient is φ = 6123930624.

The previous prime is 13400215597. The next prime is 13400215663. The reversal of 13400215605 is 50651200431.

13400215605 is a `hidden beast` number, since 1 + 3 + 40 + 0 + 2 + 15 + 605 = 666.

13400215605 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13400215605 - 23 = 13400215597 is a prime.

It is a Curzon number.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1922116 + ... + 1929074.

It is an arithmetic number, because the mean of its divisors is an integer number (553194720).

Almost surely, 213400215605 is an apocalyptic number.

13400215605 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13400215605 is a deficient number, since it is larger than the sum of its proper divisors (13153130955).

13400215605 is a wasteful number, since it uses less digits than its factorization.

13400215605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13090 (or 13087 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 13400215605 in words is "thirteen billion, four hundred million, two hundred fifteen thousand, six hundred five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 315 6113 6959 18339 20877 30565 34795 42791 48713 55017 62631 91695 104385 128373 146139 213955 243565 275085 313155 385119 438417 641865 730695 1925595 2192085 42540367 127621101 212701835 297782569 382863303 638105505 893347707 1488912845 1914316515 2680043121 4466738535 13400215605