Search a number
-
+
11194411098025 = 521924128592
BaseRepresentation
bin1010001011100110011011…
…1001011001111110101001
31110122011201202102201121101
42202321212321121332221
52431402123220114100
635450350320041401
72233524641225431
oct242714671317651
943564652381541
1011194411098025
113626583255361
121309675763261
136328228a332c
142a9b5329b2c1
151462d414c86a
hexa2e66e59fa9

11194411098025 has 81 divisors (see below), whose sum is σ = 15033640125573. Its totient is φ = 8267617987200.

The previous prime is 11194411097999. The next prime is 11194411098029. The reversal of 11194411098025 is 52089011449111.

The square root of 11194411098025 is 3345805.

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 4711908100249 + 6482502997776 = 2170693^2 + 2546076^2 .

It is not a de Polignac number, because 11194411098025 - 211 = 11194411095977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11194411098029) 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, 13031910046 + ... + 13031910904.

Almost surely, 211194411098025 is an apocalyptic number.

11194411098025 is the 3345805-th square number.

11194411098025 is the 1672903-rd centered octagonal number.

It is an amenable number.

11194411098025 is a deficient number, since it is larger than the sum of its proper divisors (3839229027548).

11194411098025 is an frugal number, since it uses more digits than its factorization.

11194411098025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1848 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 46.

The spelling of 11194411098025 in words is "eleven trillion, one hundred ninety-four billion, four hundred eleven million, ninety-eight thousand, twenty-five".

Divisors: 1 5 19 25 41 95 205 361 475 779 859 1025 1681 1805 3895 4295 8405 9025 14801 16321 19475 21475 31939 35219 42025 74005 81605 159695 176095 310099 370025 408025 606841 669161 737881 798475 880475 1443979 1550495 3034205 3345805 3689405 7219895 7752475 12714059 14019739 15171025 16729025 18447025 27435601 30253121 36099475 63570295 70098695 137178005 151265605 266375041 317851475 350493475 521276419 574809299 685890025 756328025 1240377961 1331875205 2606382095 2874046495 6201889805 6659376025 10921376681 13031910475 14370232475 23567181259 31009449025 54606883405 117835906295 273034417025 447776443921 589179531475 2238882219605 11194411098025