Search a number
-
+
12044271876 = 22371388312491
BaseRepresentation
bin10110011011110010…
…10000000100000100
31011002101102101221120
423031321100010010
5144131313200001
65311050313540
7604316423160
oct131571200404
934071371846
1012044271876
11512074a7aa
1224017288b0
13119c3958c0
14823863ca0
154a75b8236
hex2cde50104

12044271876 has 96 divisors (see below), whose sum is σ = 34630622208. Its totient is φ = 3172659840.

The previous prime is 12044271803. The next prime is 12044271881. The reversal of 12044271876 is 67817244021.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 957991 + ... + 970481.

It is an arithmetic number, because the mean of its divisors is an integer number (360735648).

Almost surely, 212044271876 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 12044271876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17315311104).

12044271876 is an abundant number, since it is smaller than the sum of its proper divisors (22586350332).

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

12044271876 is a wasteful number, since it uses less digits than its factorization.

12044271876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13401 (or 13399 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 42.

The spelling of 12044271876 in words is "twelve billion, forty-four million, two hundred seventy-one thousand, eight hundred seventy-six".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 364 546 883 1092 1766 2649 3532 5298 6181 10596 11479 12362 12491 18543 22958 24724 24982 34437 37086 37473 45916 49964 68874 74172 74946 80353 87437 137748 149892 160706 162383 174874 241059 262311 321412 324766 349748 482118 487149 524622 649532 964236 974298 1049244 1136681 1948596 2273362 3410043 4546724 6820086 11029553 13640172 22059106 33088659 44118212 66177318 77206871 132354636 143384189 154413742 231620613 286768378 308827484 430152567 463241226 573536756 860305134 926482452 1003689323 1720610268 2007378646 3011067969 4014757292 6022135938 12044271876