Search a number
-
+
12751242112 = 277791511193
BaseRepresentation
bin10111110000000100…
…01000001110000000
31012220122201012210101
423320002020032000
5202103304221422
65505143212144
7630662524660
oct137002101600
935818635711
1012751242112
11545381aa24
12257a447054
1312829a579b
1488d6d41a0
154e96b5c27
hex2f8088380

12751242112 has 128 divisors (see below), whose sum is σ = 29618841600. Its totient is φ = 5355417600.

The previous prime is 12751242107. The next prime is 12751242193. The reversal of 12751242112 is 21124215721.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10687788 + ... + 10688980.

It is an arithmetic number, because the mean of its divisors is an integer number (231397200).

Almost surely, 212751242112 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 12751242112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14809420800).

12751242112 is an abundant number, since it is smaller than the sum of its proper divisors (16867599488).

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

12751242112 is a wasteful number, since it uses less digits than its factorization.

12751242112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1444 (or 1432 counting only the distinct ones).

The product of its digits is 2240, while the sum is 28.

Adding to 12751242112 its reverse (21124215721), we get a palindrome (33875457833).

The spelling of 12751242112 in words is "twelve billion, seven hundred fifty-one million, two hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 79 112 128 151 158 224 302 316 448 553 604 632 896 1057 1106 1193 1208 1264 2114 2212 2386 2416 2528 4228 4424 4772 4832 5056 8351 8456 8848 9544 9664 10112 11929 16702 16912 17696 19088 19328 23858 33404 33824 35392 38176 47716 66808 67648 70784 76352 83503 94247 95432 133616 135296 152704 167006 180143 188494 190864 267232 334012 360286 376988 381728 534464 659729 668024 720572 753976 763456 1068928 1261001 1319458 1336048 1441144 1507952 1526912 2522002 2638916 2672096 2882288 3015904 5044004 5277832 5344192 5764576 6031808 10088008 10555664 10688384 11529152 12063616 14231297 20176016 21111328 23058304 28462594 40352032 42222656 56925188 80704064 84445312 99619079 113850376 161408128 199238158 227700752 398476316 455401504 796952632 910803008 1593905264 1821606016 3187810528 6375621056 12751242112