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2662885467225 = 3452362632
BaseRepresentation
bin100110110000000000010…
…101111010010001011001
3100102120101001210122010000
4212300000111322101121
5322112042134422400
65355151313043213
7363246533002464
oct46600025722131
910376331718100
102662885467225
119373614746a5
12370102b56509
131641556a19c9
1492c548d82db
1549403a6b600
hex26c0057a459

2662885467225 has 45 divisors (see below), whose sum is σ = 4932720415183. Its totient is φ = 1420166418480.

The previous prime is 2662885467127. The next prime is 2662885467257. The reversal of 2662885467225 is 5227645882662.

It is a happy number.

The square root of 2662885467225 is 1631835.

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

2662885467225 is a `hidden beast` number, since 2 + 6 + 6 + 2 + 88 + 546 + 7 + 2 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 958638768201 + 1704246699024 = 979101^2 + 1305468^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 2662885467225 - 213 = 2662885459033 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 44 ways as a sum of consecutive naturals, for example, 73414444 + ... + 73450706.

Almost surely, 22662885467225 is an apocalyptic number.

2662885467225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2662885467225 is the 1631835-th square number.

2662885467225 is the 815918-th centered octagonal number.

It is an amenable number.

2662885467225 is a deficient number, since it is larger than the sum of its proper divisors (2269834947958).

2662885467225 is an frugal number, since it uses more digits than its factorization.

2662885467225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72548 (or 36271 counting only the distinct ones).

The product of its digits is 154828800, while the sum is 63.

The spelling of 2662885467225 in words is "two trillion, six hundred sixty-two billion, eight hundred eighty-five million, four hundred sixty-seven thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 405 675 2025 36263 108789 181315 326367 543945 906575 979101 1631835 2719725 2937303 4895505 8159175 14686515 24477525 73432575 1315005169 3945015507 6575025845 11835046521 19725077535 32875129225 35505139563 59175232605 98625387675 106515418689 177525697815 295876163025 532577093445 887628489075 2662885467225