Search a number
-
+
295125995025 = 3252362172
BaseRepresentation
bin1000100101101101110…
…00010100111000010001
31001012202211121220212100
410102312320110320101
514313404223320100
6343325022151013
730215332365321
oct4226670247021
91035684556770
10295125995025
11104186a26214
1249245122469
1321aa41158b4
14103d9abb281
157a24844400
hex44b6e14e11

295125995025 has 27 divisors (see below), whose sum is σ = 528618044721. Its totient is φ = 157396184640.

The previous prime is 295125994993. The next prime is 295125995029. The reversal of 295125995025 is 520599521592.

It is a happy number.

The square root of 295125995025 is 543255.

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

295125995025 is a `hidden beast` number, since 2 + 9 + 5 + 125 + 9 + 9 + 502 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 87616592001 + 207509403024 = 296001^2 + 455532^2 .

It is not a de Polignac number, because 295125995025 - 25 = 295125994993 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (295125995029) by changing a digit.

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, 8130717 + ... + 8166933.

Almost surely, 2295125995025 is an apocalyptic number.

295125995025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

295125995025 is the 543255-th square number.

295125995025 is the 271628-th centered octagonal number.

It is an amenable number.

295125995025 is a deficient number, since it is larger than the sum of its proper divisors (233492049696).

295125995025 is an frugal number, since it uses more digits than its factorization.

295125995025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72450 (or 36225 counting only the distinct ones).

The product of its (nonzero) digits is 3645000, while the sum is 54.

The spelling of 295125995025 in words is "two hundred ninety-five billion, one hundred twenty-five million, nine hundred ninety-five thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 36217 108651 181085 325953 543255 905425 1629765 2716275 8148825 1311671089 3935013267 6558355445 11805039801 19675066335 32791777225 59025199005 98375331675 295125995025