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11495056225 = 524125232
BaseRepresentation
bin10101011010010100…
…01010001101100001
31002200002222100201011
422231022022031201
5142020213244400
65140350540521
7554600236312
oct125512121541
932602870634
1011495056225
114969728974
122289807741
13111266b423
147b093a609
1547427c8ba
hex2ad28a361

11495056225 has 27 divisors (see below), whose sum is σ = 14637992889. Its totient is φ = 8954596800.

The previous prime is 11495056217. The next prime is 11495056229. The reversal of 11495056225 is 52265059411.

The square root of 11495056225 is 107215.

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 4838454481 + 6656601744 = 69559^2 + 81588^2 .

It is not a de Polignac number, because 11495056225 - 23 = 11495056217 is a prime.

It is a super-3 number, since 3×114950562253 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11495056229) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 21978814 + ... + 21979336.

Almost surely, 211495056225 is an apocalyptic number.

11495056225 is the 107215-th square number.

11495056225 is the 53608-th centered octagonal number.

It is an amenable number.

11495056225 is a deficient number, since it is larger than the sum of its proper divisors (3142936664).

11495056225 is an frugal number, since it uses more digits than its factorization.

11495056225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 40.

The spelling of 11495056225 in words is "eleven billion, four hundred ninety-five million, fifty-six thousand, two hundred twenty-five".

Divisors: 1 5 25 41 205 523 1025 1681 2615 8405 13075 21443 42025 107215 273529 536075 879163 1367645 4395815 6838225 11214689 21979075 56073445 280367225 459802249 2299011245 11495056225