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12744108108 = 22341913115803
BaseRepresentation
bin10111101111001101…
…11010100001001100
31012220011021202210000
423313212322201030
5202044442424413
65504330244300
7630545063064
oct136746724114
935804252700
1012744108108
11544a798056
122577b86690
131281378594
1488c7983a4
154e8c57073
hex2f79ba84c

12744108108 has 120 divisors (see below), whose sum is σ = 35339008320. Its totient is φ = 3993481440.

The previous prime is 12744108103. The next prime is 12744108121. The reversal of 12744108108 is 80180144721.

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

12744108108 is a modest number, since divided by 108108 gives 12744 as remainder.

It is not an unprimeable number, because it can be changed into a prime (12744108103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 798535 + ... + 814337.

It is an arithmetic number, because the mean of its divisors is an integer number (294491736).

Almost surely, 212744108108 is an apocalyptic number.

12744108108 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12744108108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17669504160).

12744108108 is an abundant number, since it is smaller than the sum of its proper divisors (22594900212).

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

12744108108 is a wasteful number, since it uses less digits than its factorization.

12744108108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15969 (or 15958 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The spelling of 12744108108 in words is "twelve billion, seven hundred forty-four million, one hundred eight thousand, one hundred eight".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 131 162 171 228 262 324 342 393 513 524 684 786 1026 1179 1539 1572 2052 2358 2489 3078 3537 4716 4978 6156 7074 7467 9956 10611 14148 14934 15803 21222 22401 29868 31606 42444 44802 47409 63212 67203 89604 94818 134406 142227 189636 201609 268812 284454 300257 403218 426681 568908 600514 806436 853362 900771 1201028 1280043 1706724 1801542 2070193 2560086 2702313 3603084 4140386 5120172 5404626 6210579 8106939 8280772 10809252 12421158 16213878 18631737 24320817 24842316 32427756 37263474 39333667 48641634 55895211 74526948 78667334 97283268 111790422 118001001 157334668 167685633 223580844 236002002 335371266 354003003 472004004 670742532 708006006 1062009009 1416012012 2124018018 3186027027 4248036036 6372054054 12744108108