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12044213676 = 22341142539
BaseRepresentation
bin10110011011110010…
…00001110110101100
31011002101022110010000
423031321001312230
5144131304314201
65311045144300
7604316061405
oct131571016654
934071273100
1012044213676
115120710000
1224016bb090
13119c375271
1482384a9ac
154a75a5d86
hex2cde41dac

12044213676 has 150 divisors (see below), whose sum is σ = 34647974900. Its totient is φ = 3648324240.

The previous prime is 12044213663. The next prime is 12044213681. The reversal of 12044213676 is 67631244021.

12044213676 is a `hidden beast` number, since 12 + 0 + 442 + 136 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 12044213676.

It is an unprimeable number.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 4742415 + ... + 4744953.

Almost surely, 212044213676 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 12044213676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17323987450).

12044213676 is an abundant number, since it is smaller than the sum of its proper divisors (22603761224).

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

12044213676 is an equidigital number, since it uses as much as digits as its factorization.

12044213676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2599 (or 2555 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

Adding to 12044213676 its reverse (67631244021), we get a palindrome (79675457697).

The spelling of 12044213676 in words is "twelve billion, forty-four million, two hundred thirteen thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 121 132 162 198 242 297 324 363 396 484 594 726 891 1089 1188 1331 1452 1782 2178 2539 2662 3267 3564 3993 4356 5078 5324 6534 7617 7986 9801 10156 11979 13068 14641 15234 15972 19602 22851 23958 27929 29282 30468 35937 39204 43923 45702 47916 55858 58564 68553 71874 83787 87846 91404 107811 111716 131769 137106 143748 167574 175692 205659 215622 251361 263538 274212 307219 335148 395307 411318 431244 502722 527076 614438 754083 790614 822636 921657 1005444 1185921 1228876 1508166 1581228 1843314 2262249 2371842 2764971 3016332 3379409 3686628 4524498 4743684 5529942 6758818 8294913 9048996 10138227 11059884 13517636 16589826 20276454 24884739 30414681 33179652 37173499 40552908 49769478 60829362 74346998 91244043 99538956 111520497 121658724 148693996 182488086 223040994 273732129 334561491 364976172 446081988 547464258 669122982 1003684473 1094928516 1338245964 2007368946 3011053419 4014737892 6022106838 12044213676