Search a number
-
+
13438769616 = 243419545759
BaseRepresentation
bin11001000010000001…
…10101100111010000
31021200120102020020000
430201000311213100
5210010311111431
610101303250000
7654011441226
oct144100654720
937616366200
1013438769616
115776920578
122730749900
131362268aac
14916b42b16
15539c229e6
hex3210359d0

13438769616 has 100 divisors (see below), whose sum is σ = 40942915200. Its totient is φ = 4243814208.

The previous prime is 13438769611. The next prime is 13438769653. The reversal of 13438769616 is 61696783431.

It is a happy number.

13438769616 is a `hidden beast` number, since 13 + 4 + 3 + 8 + 7 + 6 + 9 + 616 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13438769611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 248256 + ... + 297503.

It is an arithmetic number, because the mean of its divisors is an integer number (409429152).

Almost surely, 213438769616 is an apocalyptic number.

13438769616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13438769616 is an abundant number, since it is smaller than the sum of its proper divisors (27504145584).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13438769616 is a wasteful number, since it uses less digits than its factorization.

13438769616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545798 (or 545783 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

The spelling of 13438769616 in words is "thirteen billion, four hundred thirty-eight million, seven hundred sixty-nine thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 81 108 114 144 152 162 171 216 228 304 324 342 432 456 513 648 684 912 1026 1296 1368 1539 2052 2736 3078 4104 6156 8208 12312 24624 545759 1091518 1637277 2183036 3274554 4366072 4911831 6549108 8732144 9823662 10369421 13098216 14735493 19647324 20738842 26196432 29470986 31108263 39294648 41477684 44206479 58941972 62216526 78589296 82955368 88412958 93324789 117883944 124433052 165910736 176825916 186649578 235767888 248866104 279974367 353651832 373299156 497732208 559948734 707303664 746598312 839923101 1119897468 1493196624 1679846202 2239794936 3359692404 4479589872 6719384808 13438769616