Search a number
-
+
13966305717 = 3713136137589
BaseRepresentation
bin11010000000111010…
…01110100110110101
31100001100001211201010
431000131032212311
5212100333240332
610225510222433
71003045432320
oct150035164665
940040054633
1013966305717
115a17685221
122859354a19
131417642530
14966c257b7
1556b1c99cc
hex34074e9b5

13966305717 has 32 divisors (see below), whose sum is σ = 22936515840. Its totient is φ = 7361233920.

The previous prime is 13966305713. The next prime is 13966305719. The reversal of 13966305717 is 71750366931.

13966305717 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 13966305717 - 22 = 13966305713 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13966305713) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 352759 + ... + 390347.

It is an arithmetic number, because the mean of its divisors is an integer number (716766120).

Almost surely, 213966305717 is an apocalyptic number.

It is an amenable number.

13966305717 is a deficient number, since it is larger than the sum of its proper divisors (8970210123).

13966305717 is a wasteful number, since it uses less digits than its factorization.

13966305717 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38973.

The product of its (nonzero) digits is 714420, while the sum is 48.

The spelling of 13966305717 in words is "thirteen billion, nine hundred sixty-six million, three hundred five thousand, seven hundred seventeen".

Divisors: 1 3 7 13 21 39 91 273 1361 4083 9527 17693 28581 37589 53079 112767 123851 263123 371553 488657 789369 1465971 3420599 10261797 51158629 153475887 358110403 665062177 1074331209 1995186531 4655435239 13966305717