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13400783865 = 325726077453
BaseRepresentation
bin11000111101011111…
…11011101111111001
31021120220221100120100
430132233323233321
5204421100040430
610053425150013
7653040532500
oct143657735771
937526840510
1013400783865
115757436297
12271ba8b309
131357429011
14911a95837
1553671c960
hex31ebfbbf9

13400783865 has 36 divisors (see below), whose sum is σ = 27020360484. Its totient is φ = 6126071616.

The previous prime is 13400783861. The next prime is 13400783909. The reversal of 13400783865 is 56838700431.

It can be written as a sum of positive squares in 2 ways, for example, as 6341255424 + 7059528441 = 79632^2 + 84021^2 .

It is not a de Polignac number, because 13400783865 - 22 = 13400783861 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 13400783865.

It is not an unprimeable number, because it can be changed into a prime (13400783861) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3036522 + ... + 3040931.

It is an arithmetic number, because the mean of its divisors is an integer number (750565569).

Almost surely, 213400783865 is an apocalyptic number.

13400783865 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13400783865 is an abundant number, since it is smaller than the sum of its proper divisors (13619576619).

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

13400783865 is a wasteful number, since it uses less digits than its factorization.

13400783865 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6077478 (or 6077468 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 13400783865 in words is "thirteen billion, four hundred million, seven hundred eighty-three thousand, eight hundred sixty-five".

Divisors: 1 3 5 7 9 15 21 35 45 49 63 105 147 245 315 441 735 2205 6077453 18232359 30387265 42542171 54697077 91161795 127626513 212710855 273485385 297795197 382879539 638132565 893385591 1488975985 1914397695 2680156773 4466927955 13400783865