Search a number
-
+
2723603072225 = 527174122329191
BaseRepresentation
bin100111101000100011011…
…001001100010011100001
3100122101002120200112212012
4213220203121030103201
5324110414341302400
65443112254042305
7400526265064160
oct47504331142341
910571076615765
102723603072225
11960089a25a42
1237ba291a9395
13169ab09c3529
1495b747c93d7
154aca92bcd35
hex27a2364c4e1

2723603072225 has 48 divisors (see below), whose sum is σ = 4186455549696. Its totient is φ = 1714881792000.

The previous prime is 2723603072207. The next prime is 2723603072287. The reversal of 2723603072225 is 5222703063272.

2723603072225 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2723603072225 - 216 = 2723603006689 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11042621 + ... + 11286570.

It is an arithmetic number, because the mean of its divisors is an integer number (87217823952).

Almost surely, 22723603072225 is an apocalyptic number.

2723603072225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2723603072225 is a deficient number, since it is larger than the sum of its proper divisors (1462852477471).

2723603072225 is a wasteful number, since it uses less digits than its factorization.

2723603072225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22329266 (or 22329261 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 41.

The spelling of 2723603072225 in words is "two trillion, seven hundred twenty-three billion, six hundred three million, seventy-two thousand, two hundred twenty-five".

Divisors: 1 5 7 17 25 35 41 85 119 175 205 287 425 595 697 1025 1435 2975 3485 4879 7175 17425 24395 121975 22329191 111645955 156304337 379596247 558229775 781521685 915496831 1897981235 2657173729 3907608425 4577484155 6408477817 9489906175 13285868645 15563446127 22887420775 32042389085 66429343225 77817230635 108944122889 160211945425 389086153175 544720614445 2723603072225