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2882623313241 = 3272808492
BaseRepresentation
bin101001111100101001101…
…111010001010101011001
3101012120112222022210012100
4221330221233101111121
5334212103032010431
610044131525434013
7415156043611200
oct51745157212531
911176488283170
102882623313241
11a1157178a731
123a680886b909
1317baa3c8bcb9
149d73c140237
154eeb4c264e6
hex29f29bd1559

2882623313241 has 27 divisors (see below), whose sum is σ = 4843651463391. Its totient is φ = 1647192947904.

The previous prime is 2882623313231. The next prime is 2882623313263. The reversal of 2882623313241 is 1423133262882.

The square root of 2882623313241 is 1697829.

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

2882623313241 is a `hidden beast` number, since 2 + 8 + 8 + 2 + 623 + 3 + 13 + 2 + 4 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1739178050841 + 1143445262400 = 1318779^2 + 1069320^2 .

It is not a de Polignac number, because 2882623313241 - 25 = 2882623313209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2882623313231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 35613985 + ... + 35694833.

Almost surely, 22882623313241 is an apocalyptic number.

2882623313241 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2882623313241 is the 1697829-th square number.

2882623313241 is the 848915-th centered octagonal number.

It is an amenable number.

2882623313241 is a deficient number, since it is larger than the sum of its proper divisors (1961028150150).

2882623313241 is an frugal number, since it uses more digits than its factorization.

2882623313241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161718 (or 80859 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The spelling of 2882623313241 in words is "two trillion, eight hundred eighty-two billion, six hundred twenty-three million, three hundred thirteen thousand, two hundred forty-one".

Divisors: 1 3 7 9 21 49 63 147 441 80849 242547 565943 727641 1697829 3961601 5093487 11884803 35654409 6536560801 19609682403 45755925607 58829047209 137267776821 320291479249 411803330463 960874437747 2882623313241