Search a number
-
+
8172981648 = 243413485101
BaseRepresentation
bin1111001110010010…
…11100110110010000
3210002120220111010000
413213021130312100
5113214240403043
63430555210000
7406351124556
oct74711346620
923076814100
108172981648
113514487097
121701146900
13a0332a620
14577655bd6
1532c7b92d3
hex1e725cd90

8172981648 has 100 divisors (see below), whose sum is σ = 25474646428. Its totient is φ = 2514758400.

The previous prime is 8172981643. The next prime is 8172981703. The reversal of 8172981648 is 8461892718.

It can be written as a sum of positive squares in 2 ways, for example, as 4213048464 + 3959933184 = 64908^2 + 62928^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 8172981594 and 8172981603.

It is not an unprimeable number, because it can be changed into a prime (8172981643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 225703 + ... + 259398.

Almost surely, 28172981648 is an apocalyptic number.

It is an amenable number.

8172981648 is an abundant number, since it is smaller than the sum of its proper divisors (17301664780).

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

8172981648 is a wasteful number, since it uses less digits than its factorization.

8172981648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485134 (or 485119 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 54.

The square root of 8172981648 is about 90404.5443990511. The cubic root of 8172981648 is about 2014.3124696181.

The spelling of 8172981648 in words is "eight billion, one hundred seventy-two million, nine hundred eighty-one thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 104 108 117 144 156 162 208 216 234 312 324 351 432 468 624 648 702 936 1053 1296 1404 1872 2106 2808 4212 5616 8424 16848 485101 970202 1455303 1940404 2910606 3880808 4365909 5821212 6306313 7761616 8731818 11642424 12612626 13097727 17463636 18918939 23284848 25225252 26195454 34927272 37837878 39293181 50450504 52390908 56756817 69854544 75675756 78586362 100901008 104781816 113513634 151351512 157172724 170270451 209563632 227027268 302703024 314345448 340540902 454054536 510811353 628690896 681081804 908109072 1021622706 1362163608 2043245412 2724327216 4086490824 8172981648