Search a number
-
+
3349650342025 = 521323727612
BaseRepresentation
bin110000101111100110101…
…110000000000010001001
3102212020000220002000020201
4300233212232000002021
5414340040441421100
611042450315452201
7464001313061251
oct60574656000211
912766026060221
103349650342025
111081640324899
12461227157061
131b3b41b34c00
14b81a414a961
155c1eac2a36a
hex30be6b80089

3349650342025 has 81 divisors (see below), whose sum is σ = 4628574496413. Its totient is φ = 2403571622400.

The previous prime is 3349650342019. The next prime is 3349650342083. The reversal of 3349650342025 is 5202430569433.

The square root of 3349650342025 is 1830205.

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

It can be written as a sum of positive squares in 40 ways, for example, as 1587330371449 + 1762319970576 = 1259893^2 + 1327524^2 .

It is not a de Polignac number, because 3349650342025 - 211 = 3349650339977 is a prime.

It is a super-2 number, since 2×33496503420252 (a number of 26 digits) contains 22 as substring.

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 80 ways as a sum of consecutive naturals, for example, 4401642645 + ... + 4401643405.

Almost surely, 23349650342025 is an apocalyptic number.

3349650342025 is the 1830205-th square number.

3349650342025 is the 915103-rd centered octagonal number.

It is an amenable number.

3349650342025 is a deficient number, since it is larger than the sum of its proper divisors (1278924154388).

3349650342025 is an frugal number, since it uses more digits than its factorization.

3349650342025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1632 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 46.

The spelling of 3349650342025 in words is "three trillion, three hundred forty-nine billion, six hundred fifty million, three hundred forty-two thousand, twenty-five".

Divisors: 1 5 13 25 37 65 169 185 325 481 761 845 925 1369 2405 3805 4225 6253 6845 9893 12025 17797 19025 28157 31265 34225 49465 88985 128609 140785 156325 231361 247325 366041 444925 579121 643045 703925 1041809 1156805 1830205 2895605 3215225 4758533 5209045 5784025 7528573 9151025 13543517 14478025 21427477 23792665 26045225 37642865 67717585 97871449 107137385 118963325 176065721 188214325 278557201 338587925 489357245 535686925 792816649 880328605 1392786005 2446786225 3621243613 3964083245 4401643025 6963930025 10306616437 18106218065 19820416225 51533082185 90531090325 133986013681 257665410925 669930068405 3349650342025