Search a number
-
+
10781707225 = 5219210932
BaseRepresentation
bin10100000101010001…
…11100101111011001
31000211101200110211211
422002220330233121
5134040104112400
64541505223121
7531115666522
oct120250745731
930741613754
1010781707225
114632aa1243
12210a931aa1
13102a937023
14743cc9849
1543181edba
hex282a3cbd9

10781707225 has 27 divisors (see below), whose sum is σ = 14122920573. Its totient is φ = 8163923040.

The previous prime is 10781707193. The next prime is 10781707243. The reversal of 10781707225 is 52270718701.

The square root of 10781707225 is 103835.

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

10781707225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2684586969 + 8097120256 = 51813^2 + 89984^2 .

It is not a de Polignac number, because 10781707225 - 25 = 10781707193 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 9863779 + ... + 9864871.

Almost surely, 210781707225 is an apocalyptic number.

10781707225 is the 103835-th square number.

10781707225 is the 51918-th centered octagonal number.

It is an amenable number.

10781707225 is a deficient number, since it is larger than the sum of its proper divisors (3341213348).

10781707225 is an frugal number, since it uses more digits than its factorization.

10781707225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2234 (or 1117 counting only the distinct ones).

The product of its (nonzero) digits is 54880, while the sum is 40.

The spelling of 10781707225 in words is "ten billion, seven hundred eighty-one million, seven hundred seven thousand, two hundred twenty-five".

Divisors: 1 5 19 25 95 361 475 1093 1805 5465 9025 20767 27325 103835 394573 519175 1194649 1972865 5973245 9864325 22698331 29866225 113491655 431268289 567458275 2156341445 10781707225