Search a number
-
+
108229711752 = 233213722832
BaseRepresentation
bin110010011001011111…
…1100101011110001000
3101100100201022000102200
41210302333211132020
53233123301234002
6121415310200200
710551014241141
oct1446277453610
9340321260380
10108229711752
114199993a378
1218b85ab3060
13a28a810876
14534a042ac8
152c369acb1c
hex1932fe5788

108229711752 has 108 divisors (see below), whose sum is σ = 296324400645. Its totient is φ = 35686689408.

The previous prime is 108229711741. The next prime is 108229711757. The reversal of 108229711752 is 257117922801.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 107396465796 + 833245956 = 327714^2 + 28866^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=232626.

It is a junction number, because it is equal to n+sod(n) for n = 108229711698 and 108229711707.

It is not an unprimeable number, because it can be changed into a prime (108229711757) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 382437003 + ... + 382437285.

Almost surely, 2108229711752 is an apocalyptic number.

108229711752 is a gapful number since it is divisible by the number (12) 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 108229711752

108229711752 is an abundant number, since it is smaller than the sum of its proper divisors (188094688893).

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

108229711752 is an equidigital number, since it uses as much as digits as its factorization.

108229711752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 852 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 45.

The spelling of 108229711752 in words is "one hundred eight billion, two hundred twenty-nine million, seven hundred eleven thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 137 274 283 411 548 566 822 849 1096 1132 1233 1644 1698 2264 2466 2547 3288 3396 4932 5094 6792 9864 10188 18769 20376 37538 38771 56307 75076 77542 80089 112614 116313 150152 155084 160178 168921 225228 232626 240267 310168 320356 337842 348939 450456 465252 480534 640712 675684 697878 720801 930504 961068 1351368 1395756 1441602 1922136 2791512 2883204 5311627 5766408 10623254 10972193 15934881 21246508 21944386 31869762 32916579 42493016 43888772 47804643 63739524 65833158 87777544 95609286 98749737 127479048 131666316 191218572 197499474 263332632 382437144 394998948 789997896 1503190441 3006380882 4509571323 6012761764 9019142646 12025523528 13528713969 18038285292 27057427938 36076570584 54114855876 108229711752