Search a number
-
+
1306085947543 = 132913367259177
BaseRepresentation
bin10011000000011000110…
…010011111100010010111
311121212020101010121202201
4103000120302133202113
5132344331000310133
62440001350345331
7163235012243566
oct23003062374227
94555211117681
101306085947543
114639a9516703
1219116565b247
1396217c26730
144730196bbdd
1523e93388d7d
hex13018c9f897

1306085947543 has 16 divisors (see below), whose sum is σ = 1455170431680. Its totient is φ = 1163953195776.

The previous prime is 1306085947541. The next prime is 1306085947577. The reversal of 1306085947543 is 3457495806031.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1306085947543 - 21 = 1306085947541 is a prime.

It is a super-2 number, since 2×13060859475432 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1306085947541) 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, 4909771 + ... + 5168947.

It is an arithmetic number, because the mean of its divisors is an integer number (90948151980).

Almost surely, 21306085947543 is an apocalyptic number.

1306085947543 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

1306085947543 is a deficient number, since it is larger than the sum of its proper divisors (149084484137).

1306085947543 is a wasteful number, since it uses less digits than its factorization.

1306085947543 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272586.

The product of its (nonzero) digits is 10886400, while the sum is 55.

The spelling of 1306085947543 in words is "one trillion, three hundred six billion, eighty-five million, nine hundred forty-seven thousand, five hundred forty-three".

Divisors: 1 13 29 377 13367 173771 259177 387643 3369301 5039359 7516133 97709729 3464418959 45037446467 100468149811 1306085947543