Search a number
-
+
13273409128 = 2373167139821
BaseRepresentation
bin11000101110010100…
…00010011001101000
31021021001021001021111
430113022002121220
5204140443043003
610033035120104
7646633054540
oct142712023150
937231231244
1013273409128
1156a1547811
1226a52a3034
131336c1c455
148dcbba320
1552a45be6d
hex317282668

13273409128 has 128 divisors (see below), whose sum is σ = 30049689600. Its totient is φ = 5377363200.

The previous prime is 13273409111. The next prime is 13273409143. The reversal of 13273409128 is 82190437231.

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, 16166958 + ... + 16167778.

It is an arithmetic number, because the mean of its divisors is an integer number (234763200).

Almost surely, 213273409128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13273409128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15024844800).

13273409128 is an abundant number, since it is smaller than the sum of its proper divisors (16776280472).

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

13273409128 is a wasteful number, since it uses less digits than its factorization.

13273409128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1071 (or 1067 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The spelling of 13273409128 in words is "thirteen billion, two hundred seventy-three million, four hundred nine thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 28 31 56 62 67 124 134 139 217 248 268 278 434 469 536 556 821 868 938 973 1112 1642 1736 1876 1946 2077 3284 3752 3892 4154 4309 5747 6568 7784 8308 8618 9313 11494 14539 16616 17236 18626 22988 25451 29078 30163 34472 37252 45976 50902 55007 58156 60326 65191 74504 101804 110014 114119 116312 120652 130382 178157 203608 220028 228238 241304 260764 288703 356314 385049 440056 456476 521528 577406 712628 770098 798833 912952 1154812 1425256 1540196 1597666 1705217 2020921 2309624 3080392 3195332 3410434 3537689 4041842 6390664 6820868 7075378 7645973 8083684 11936519 13641736 14150756 15291946 16167368 23873038 24763823 28301512 30583892 47746076 49527646 53521811 61167784 95492152 99055292 107043622 198110584 214087244 237025163 428174488 474050326 948100652 1659176141 1896201304 3318352282 6636704564 13273409128