Search a number
-
+
9873703640025 = 325227127732
BaseRepresentation
bin1000111110101110011010…
…0110010001101111011001
31021221220202101100102012100
42033223212212101233121
52243232321112440100
632555530011434013
72036231403114261
oct217534646215731
937856671312170
109873703640025
113167461330515
12113570b455909
13568117680384
14261c658b07a1
15121c87314400
hex8fae6991bd9

9873703640025 has 81 divisors (see below), whose sum is σ = 17773391742717. Its totient is φ = 5239756382400.

The previous prime is 9873703640011. The next prime is 9873703640029. The reversal of 9873703640025 is 5200463073789.

The square root of 9873703640025 is 3142245.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 3829422385881 + 6044281254144 = 1956891^2 + 2458512^2 .

It is not a de Polignac number, because 9873703640025 - 27 = 9873703639897 is a prime.

It is not an unprimeable number, because it can be changed into a prime (9873703640029) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 12773225539 + ... + 12773226311.

Almost surely, 29873703640025 is an apocalyptic number.

9873703640025 is the 3142245-th square number.

9873703640025 is the 1571123-rd centered octagonal number.

It is an amenable number.

9873703640025 is a deficient number, since it is larger than the sum of its proper divisors (7899688102692).

9873703640025 is an frugal number, since it uses more digits than its factorization.

9873703640025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2104 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 9873703640025 in words is "nine trillion, eight hundred seventy-three billion, seven hundred three million, six hundred forty thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 271 773 813 1355 2319 2439 3865 4065 6775 6957 11595 12195 19325 20325 34785 57975 60975 73441 173925 209483 220323 367205 597529 628449 660969 1047415 1101615 1792587 1836025 1885347 2987645 3142245 3304845 5237075 5377761 5508075 8962935 9426735 14938225 15711225 16524225 26888805 44814675 47133675 56769893 134444025 161930359 170309679 283849465 485791077 510929037 809651795 851548395 1419247325 1457373231 2428955385 2554645185 4048258975 4257741975 7286866155 12144776925 12773225925 36434330775 43883127289 131649381867 219415636445 394948145601 658246909335 1097078182225 1974740728005 3291234546675 9873703640025