Search a number
-
+
13728014963905 = 5118912722082657
BaseRepresentation
bin1100011111000100110101…
…1101001001010011000001
31210121101101222002112210011
43013301031131021103001
53244404433312321110
645110321335504521
72614550002604464
oct307611535112301
953541358075704
1013728014963905
114413022616420
1216586b8528141
13787714182178
14356621c932db
1518c16ce5e48a
hexc7c4d7494c1

13728014963905 has 32 divisors (see below), whose sum is σ = 18316239851520. Its totient is φ = 9794099589120.

The previous prime is 13728014963869. The next prime is 13728014963987. The reversal of 13728014963905 is 50936941082731.

It is a happy number.

It is not a de Polignac number, because 13728014963905 - 27 = 13728014963777 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13728014963905.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10419664 + ... + 11662993.

It is an arithmetic number, because the mean of its divisors is an integer number (572382495360).

It is a 1-persistent number, because it is pandigital, but 2⋅13728014963905 = 27456029927810 is not.

Almost surely, 213728014963905 is an apocalyptic number.

It is an amenable number.

13728014963905 is a deficient number, since it is larger than the sum of its proper divisors (4588224887615).

13728014963905 is a wasteful number, since it uses less digits than its factorization.

13728014963905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22082889.

The product of its (nonzero) digits is 9797760, while the sum is 58.

The spelling of 13728014963905 in words is "thirteen trillion, seven hundred twenty-eight billion, fourteen million, nine hundred sixty-three thousand, nine hundred five".

Divisors: 1 5 11 55 89 127 445 635 979 1397 4895 6985 11303 56515 124333 621665 22082657 110413285 242909227 1214546135 1965356473 2804497439 9826782365 14022487195 21618921203 30849471829 108094606015 154247359145 249600272071 1248001360355 2745602992781 13728014963905