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16981445931025 = 525926122292
BaseRepresentation
bin1111011100011100110100…
…0011010111000000010001
32020010102002011102212102211
43313013031003113000101
54211211000124243100
6100041100224312121
73401604026543122
oct367071503270021
966112064385384
1016981445931025
115457877582764
121aa314ba72641
13962460819cc4
14429c9910a049
151e6ad67e01ba
hexf71cd0d7011

16981445931025 has 81 divisors (see below), whose sum is σ = 21872353974003. Its totient is φ = 13078604764800.

The previous prime is 16981445930987. The next prime is 16981445931031. The reversal of 16981445931025 is 52013954418961.

The square root of 16981445931025 is 4120855.

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

It can be written as a sum of positive squares in 13 ways, for example, as 12194294473089 + 4787151457936 = 3492033^2 + 2187956^2 .

It is not a de Polignac number, because 16981445931025 - 215 = 16981445898257 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 74154785611 + ... + 74154785839.

Almost surely, 216981445931025 is an apocalyptic number.

16981445931025 is the 4120855-th square number.

16981445931025 is the 2060428-th centered octagonal number.

It is an amenable number.

16981445931025 is a deficient number, since it is larger than the sum of its proper divisors (4890908042978).

16981445931025 is an frugal number, since it uses more digits than its factorization.

16981445931025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 58.

The spelling of 16981445931025 in words is "sixteen trillion, nine hundred eighty-one billion, four hundred forty-five million, nine hundred thirty-one thousand, twenty-five".

Divisors: 1 5 25 59 61 229 295 305 1145 1475 1525 3481 3599 3721 5725 13511 13969 17405 17995 18605 52441 67555 69845 87025 89975 93025 212341 219539 262205 337775 349225 797149 824171 852109 1061705 1097695 1311025 3094019 3198901 3985745 4120855 4260545 5308525 5488475 12952801 15470095 15994505 19928725 20604275 21302725 48626089 50274431 64764005 77350475 79972525 182547121 188735159 195132961 243130445 251372155 323820025 912735605 943675795 975664805 1215652225 1256860775 2966191429 4563678025 4718378975 4878324025 11135374381 11512844699 14830957145 55676871905 57564223495 74154785725 278384359525 287821117475 679257837241 3396289186205 16981445931025