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13780105421 = 292149277397
BaseRepresentation
bin11001101010101101…
…11011100011001101
31022120100200212220212
430311112323203031
5211210201333141
610155215252205
7665324651315
oct146526734315
938510625825
1013780105421
115931568185
122806b1a065
1313b7baa444
1494a1d6445
15559b992eb
hex3355bb8cd

13780105421 has 24 divisors (see below), whose sum is σ = 14455638600. Its totient is φ = 13134756096.

The previous prime is 13780105331. The next prime is 13780105441. The reversal of 13780105421 is 12450108731.

It can be written as a sum of positive squares in 12 ways, for example, as 5423586025 + 8356519396 = 73645^2 + 91414^2 .

It is not a de Polignac number, because 13780105421 - 218 = 13779843277 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13780105441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34710395 + ... + 34710791.

It is an arithmetic number, because the mean of its divisors is an integer number (602318275).

Almost surely, 213780105421 is an apocalyptic number.

It is an amenable number.

13780105421 is a deficient number, since it is larger than the sum of its proper divisors (675533179).

13780105421 is a wasteful number, since it uses less digits than its factorization.

13780105421 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 881 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 32.

The spelling of 13780105421 in words is "thirteen billion, seven hundred eighty million, one hundred five thousand, four hundred twenty-one".

Divisors: 1 29 149 277 397 841 4321 8033 11513 41273 59153 109969 125309 232957 333877 1196917 1715437 3189101 16385381 34710593 49747673 92483929 475176049 13780105421