Search a number
-
+
10204445643225 = 3521718174359513
BaseRepresentation
bin1001010001111110100001…
…0110111001000111011001
31100010112110100210000100120
42110133220112321013121
52314142201041040400
633411505124423453
72102150450550261
oct224375026710731
940115410700316
1010204445643225
113284754599829
121189834247b89
135903764cba02
14273c7d80a7a1
1512a693819ca0
hex947e85b91d9

10204445643225 has 96 divisors (see below), whose sum is σ = 17986955261184. Its totient is φ = 5086990540800.

The previous prime is 10204445643209. The next prime is 10204445643229. The reversal of 10204445643225 is 52234654440201.

It is not a de Polignac number, because 10204445643225 - 24 = 10204445643209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10204445643229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 171436069 + ... + 171495581.

It is an arithmetic number, because the mean of its divisors is an integer number (187364117304).

Almost surely, 210204445643225 is an apocalyptic number.

10204445643225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10204445643225 is a deficient number, since it is larger than the sum of its proper divisors (7782509617959).

10204445643225 is a wasteful number, since it uses less digits than its factorization.

10204445643225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60467 (or 60462 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 42.

The spelling of 10204445643225 in words is "ten trillion, two hundred four billion, four hundred forty-five million, six hundred forty-three thousand, two hundred twenty-five".

Divisors: 1 3 5 15 17 25 51 75 85 181 255 425 543 743 905 1275 2229 2715 3077 3715 4525 9231 11145 12631 13575 15385 18575 37893 46155 55725 59513 63155 76925 134483 178539 189465 230775 297565 315775 403449 672415 892695 947325 1011721 1487825 2017245 2286211 3035163 3362075 4463475 5058605 6858633 10086225 10771853 11431055 15175815 25293025 32315559 34293165 44218159 53859265 57155275 75879075 132654477 161577795 171465825 183121501 221090795 269296325 549364503 663272385 751708703 807888975 915607505 1105453975 2255126109 2746822515 3316361925 3758543515 4578037525 8003486779 11275630545 13734112575 18792717575 24010460337 40017433895 56378152725 120052301685 136059275243 200087169475 408177825729 600261508425 680296376215 2040889128645 3401481881075 10204445643225