Search a number
-
+
106959681708 = 2231119181235621
BaseRepresentation
bin110001110011101001…
…0110011100010101100
3101020002012111210201220
41203213102303202230
53223023134303313
6121045301103340
710504363202505
oct1434722634254
9336065453656
10106959681708
11413a7a51a70
12188906b7b50
13a117669cb9
1452694c3bac
152bb023c823
hex18e74b38ac

106959681708 has 96 divisors (see below), whose sum is σ = 288175130880. Its totient is φ = 30536352000.

The previous prime is 106959681683. The next prime is 106959681721. The reversal of 106959681708 is 807186959601.

It is a super-2 number, since 2×1069596817082 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 336138 + ... + 571758.

It is an arithmetic number, because the mean of its divisors is an integer number (3001824280).

Almost surely, 2106959681708 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 106959681708, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144087565440).

106959681708 is an abundant number, since it is smaller than the sum of its proper divisors (181215449172).

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

106959681708 is a wasteful number, since it uses less digits than its factorization.

106959681708 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235839 (or 235837 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 60.

The spelling of 106959681708 in words is "one hundred six billion, nine hundred fifty-nine million, six hundred eighty-one thousand, seven hundred eight".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 114 132 181 209 228 362 418 543 627 724 836 1086 1254 1991 2172 2508 3439 3982 5973 6878 7964 10317 11946 13756 20634 23892 37829 41268 75658 113487 151316 226974 235621 453948 471242 706863 942484 1413726 2591831 2827452 4476799 5183662 7775493 8953598 10367324 13430397 15550986 17907196 26860794 31101972 42647401 49244789 53721588 85294802 98489578 127942203 147734367 170589604 196979156 255884406 295468734 469121411 511768812 590937468 810300619 938242822 1407364233 1620601238 1876485644 2430901857 2814728466 3241202476 4861803714 5629456932 8913306809 9723607428 17826613618 26739920427 35653227236 53479840854 106959681708