Search a number
-
+
2666313423225 = 325223247332
BaseRepresentation
bin100110110011001100101…
…010100001100101111001
3100102220012222002211201100
4212303030222201211321
5322141102214020400
65400515410042013
7363430506103344
oct46631452414571
910386188084640
102666313423225
11938860464791
123708bab79309
1316458093533a
149309bca145b
1549554997100
hex26cccaa1979

2666313423225 has 81 divisors (see below), whose sum is σ = 4993383879757. Its totient is φ = 1359918880320.

The previous prime is 2666313423203. The next prime is 2666313423229. The reversal of 2666313423225 is 5223243136662.

It is a happy number.

The square root of 2666313423225 is 1632885.

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

2666313423225 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 595408227129 + 2070905196096 = 771627^2 + 1439064^2 .

It is not a de Polignac number, because 2666313423225 - 225 = 2666279868793 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2666313423229) 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, 563342959 + ... + 563347691.

Almost surely, 22666313423225 is an apocalyptic number.

2666313423225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2666313423225 is the 1632885-th square number.

2666313423225 is the 816443-rd centered octagonal number.

It is an amenable number.

2666313423225 is a deficient number, since it is larger than the sum of its proper divisors (2327070456532).

2666313423225 is an frugal number, since it uses more digits than its factorization.

2666313423225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9528 (or 4764 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 45.

Adding to 2666313423225 its reverse (5223243136662), we get a palindrome (7889556559887).

The spelling of 2666313423225 in words is "two trillion, six hundred sixty-six billion, three hundred thirteen million, four hundred twenty-three thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 23 25 45 69 75 115 207 225 345 529 575 1035 1587 1725 2645 4733 4761 5175 7935 13225 14199 23665 23805 39675 42597 70995 108859 118325 119025 212985 326577 354975 544295 979731 1064925 1632885 2503757 2721475 4898655 7511271 8164425 12518785 22401289 22533813 24493275 37556355 62593925 67203867 112006445 112669065 187781775 201611601 336019335 515229647 560032225 563345325 1008058005 1545688941 1680096675 2576148235 4637066823 5040290025 7728444705 11850281881 12880741175 23185334115 35550845643 38642223525 59251409405 106652536929 115926670575 177754228215 296257047025 533262684645 888771141075 2666313423225