Search a number
-
+
13726737341 = 236116935779
BaseRepresentation
bin11001100100010110…
…10110001110111101
31022102122021111200022
430302023112032331
5211103021043331
610150031341525
7664106225252
oct146213261675
938378244608
1013726737341
115904426a29
1227b10818a5
1313a9b12cb5
149430a3429
1555515667b
hex3322d63bd

13726737341 has 16 divisors (see below), whose sum is σ = 14569484160. Its totient is φ = 12904816320.

The previous prime is 13726737313. The next prime is 13726737347. The reversal of 13726737341 is 14373762731.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13726737341 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13726737292 and 13726737301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13726737347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2372390 + ... + 2378168.

It is an arithmetic number, because the mean of its divisors is an integer number (910592760).

Almost surely, 213726737341 is an apocalyptic number.

It is an amenable number.

13726737341 is a deficient number, since it is larger than the sum of its proper divisors (842746819).

13726737341 is a wasteful number, since it uses less digits than its factorization.

13726737341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7556.

The product of its digits is 444528, while the sum is 44.

The spelling of 13726737341 in words is "thirteen billion, seven hundred twenty-six million, seven hundred thirty-seven thousand, three hundred forty-one".

Divisors: 1 23 61 1403 1693 5779 38939 103273 132917 352519 2375279 8107937 9783847 225028481 596814667 13726737341