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6700241025 = 34521721072
BaseRepresentation
bin1100011110101110…
…11001000010000001
3122021221200111210000
412033113121002001
5102210230203100
63024505230213
7325016052252
oct61727310201
918257614700
106700241025
112929125285
12136ba92369
1382a190a7a
14477c0ab29
15293356900
hex18f5d9081

6700241025 has 135 divisors (see below), whose sum is σ = 13308544249. Its totient is φ = 3331825920.

The previous prime is 6700241011. The next prime is 6700241029. The reversal of 6700241025 is 5201420076.

The square root of 6700241025 is 81855.

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

6700241025 is digitally balanced in base 3, 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 156725361 + 6543515664 = 12519^2 + 80892^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 6700241025 - 211 = 6700238977 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 6700241025.

It is not an unprimeable number, because it can be changed into a prime (6700241029) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 62619022 + ... + 62619128.

Almost surely, 26700241025 is an apocalyptic number.

6700241025 is the 81855-th square number.

6700241025 is the 40928-th centered octagonal number.

It is an amenable number.

6700241025 is a deficient number, since it is larger than the sum of its proper divisors (6608303224).

6700241025 is a wasteful number, since it uses less digits than its factorization.

6700241025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The cubic root of 6700241025 is about 1885.2262367800.

The spelling of 6700241025 in words is "six billion, seven hundred million, two hundred forty-one thousand, twenty-five".

Divisors: 1 3 5 9 15 17 25 27 45 51 75 81 85 107 135 153 225 255 289 321 405 425 459 535 675 765 867 963 1275 1377 1445 1605 1819 2025 2295 2601 2675 2889 3825 4335 4815 5457 6885 7225 7803 8025 8667 9095 11449 11475 13005 14445 16371 21675 23409 24075 27285 30923 34347 34425 39015 43335 45475 49113 57245 65025 72225 81855 92769 103041 117045 136425 147339 154615 171735 194633 195075 216675 245565 278307 286225 309123 409275 463845 515205 583899 585225 736695 773075 834921 858675 927369 973165 1227825 1391535 1545615 1751697 2319225 2504763 2576025 2919495 3308761 3683475 4174605 4636845 4865825 5255091 6957675 7728075 8758485 9926283 12523815 14597475 15765273 16543805 20873025 23184225 26275455 29778849 43792425 49631415 62619075 78826365 82719025 89336547 131377275 148894245 248157075 268009641 394131825 446682735 744471225 1340048205 2233413675 6700241025