Search a number
-
+
2033889561025 = 527458212
BaseRepresentation
bin11101100110001101010…
…000111100100111000001
321012102211021000220222221
4131212031100330213001
5231310401211423100
64154204515531041
7266641452010000
oct35461520744701
97172737026887
102033889561025
117146276a7663
1228a2215b9a81
13119a446c0a6a
1470625700c37
1537d8d31401a
hex1d98d43c9c1

2033889561025 has 45 divisors (see below), whose sum is σ = 2942690694153. Its totient is φ = 1394427535200.

The previous prime is 2033889561017. The next prime is 2033889561031. The reversal of 2033889561025 is 5201659883302.

The square root of 2033889561025 is 1426145.

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

It can be written as a sum of positive squares in 4 ways, for example, as 149353650369 + 1884535910656 = 386463^2 + 1372784^2 .

It is not a de Polignac number, because 2033889561025 - 23 = 2033889561017 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 349402615 + ... + 349408435.

Almost surely, 22033889561025 is an apocalyptic number.

2033889561025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2033889561025 is the 1426145-th square number.

2033889561025 is the 713073-rd centered octagonal number.

It is an amenable number.

2033889561025 is a deficient number, since it is larger than the sum of its proper divisors (908801133128).

2033889561025 is an frugal number, since it uses more digits than its factorization.

2033889561025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11680 (or 5833 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 52.

The spelling of 2033889561025 in words is "two trillion, thirty-three billion, eight hundred eighty-nine million, five hundred sixty-one thousand, twenty-five".

Divisors: 1 5 7 25 35 49 175 245 343 1225 1715 2401 5821 8575 12005 29105 40747 60025 145525 203735 285229 1018675 1426145 1996603 7130725 9983015 13976221 33884041 49915075 69881105 169420205 237188287 349405525 847101025 1185941435 1660318009 5929707175 8301590045 11622226063 41507950225 58111130315 81355582441 290555651575 406777912205 2033889561025