Search a number
-
+
13358580366 = 2323794312843
BaseRepresentation
bin11000111000011101…
…11100001010001110
31021110222112012020210
430130032330022032
5204324244032431
610045320423250
7652016026305
oct143416741216
937428465223
1013358580366
11573563016a
122709917b26
13134b770531
1490a22b43c
15532b82d46
hex31c3bc28e

13358580366 has 64 divisors (see below), whose sum is σ = 28307128320. Its totient is φ = 4194109920.

The previous prime is 13358580359. The next prime is 13358580373. The reversal of 13358580366 is 66308585331.

13358580366 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13358580359) and next prime (13358580373).

It is a congruent number.

It is an unprimeable number.

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, 4697341 + ... + 4700183.

It is an arithmetic number, because the mean of its divisors is an integer number (442298880).

Almost surely, 213358580366 is an apocalyptic number.

13358580366 is an abundant number, since it is smaller than the sum of its proper divisors (14948547954).

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

13358580366 is a wasteful number, since it uses less digits than its factorization.

13358580366 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3381.

The product of its (nonzero) digits is 1555200, while the sum is 48.

The spelling of 13358580366 in words is "thirteen billion, three hundred fifty-eight million, five hundred eighty thousand, three hundred sixty-six".

Divisors: 1 2 3 6 23 46 69 79 138 158 237 431 474 862 1293 1817 2586 2843 3634 5451 5686 8529 9913 10902 17058 19826 29739 34049 59478 65389 68098 102147 130778 196167 204294 224597 392334 449194 673791 783127 1225333 1347582 1566254 2349381 2450666 3675999 4698762 5165731 7351998 10331462 15497193 28182659 30994386 56365318 84547977 96801307 169095954 193602614 290403921 580807842 2226430061 4452860122 6679290183 13358580366