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2106041344 = 21011593169
BaseRepresentation
bin111110110000111…
…1010010000000000
312102202212222121021
41331201322100000
513303121310334
6544551435224
7103122025141
oct17541722000
95382788537
102106041344
11990895040
124a9385b14
13277424914
1415d9bdac8
15c4d5c3b4
hex7d87a400

2106041344 has 88 divisors (see below), whose sum is σ = 4672072800. Its totient is φ = 940769280.

The previous prime is 2106041341. The next prime is 2106041359. The reversal of 2106041344 is 4431406012.

It is a tau number, because it is divible by the number of its divisors (88).

It is not an unprimeable number, because it can be changed into a prime (2106041341) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 662992 + ... + 666160.

Almost surely, 22106041344 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 2106041344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2336036400).

2106041344 is an abundant number, since it is smaller than the sum of its proper divisors (2566031456).

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

2106041344 is a wasteful number, since it uses less digits than its factorization.

2106041344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3259 (or 3241 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 2106041344 is about 45891.6260770960. The cubic root of 2106041344 is about 1281.8059923368.

Adding to 2106041344 its reverse (4431406012), we get a palindrome (6537447356).

The spelling of 2106041344 in words is "two billion, one hundred six million, forty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 59 64 88 118 128 176 236 256 352 472 512 649 704 944 1024 1298 1408 1888 2596 2816 3169 3776 5192 5632 6338 7552 10384 11264 12676 15104 20768 25352 30208 34859 41536 50704 60416 69718 83072 101408 139436 166144 186971 202816 278872 332288 373942 405632 557744 664576 747884 811264 1115488 1495768 1622528 2056681 2230976 2991536 3245056 4113362 4461952 5983072 8226724 8923904 11966144 16453448 17847808 23932288 32906896 35695616 47864576 65813792 95729152 131627584 191458304 263255168 526510336 1053020672 2106041344