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669366149904 = 243229223512
BaseRepresentation
bin10011011110110010101…
…01001110001100010000
32100222202021111120111100
421233121111032030100
541431330213244104
61231300315344400
766234342253134
oct11573125161420
92328667446440
10669366149904
11238970817711
12a9889452100
134b175986a1a
142457ca213c4
15126299c6139
hex9bd954e310

669366149904 has 135 divisors (see below), whose sum is σ = 1940944987189. Its totient is φ = 215336553600.

The previous prime is 669366149873. The next prime is 669366149957. The reversal of 669366149904 is 409941663966.

The square root of 669366149904 is 818148.

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

669366149904 is a `hidden beast` number, since 6 + 6 + 9 + 3 + 6 + 614 + 9 + 9 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 350999372304 + 318366777600 = 592452^2 + 564240^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 284714329 + ... + 284716679.

Almost surely, 2669366149904 is an apocalyptic number.

669366149904 is the 818148-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 669366149904

669366149904 is an abundant number, since it is smaller than the sum of its proper divisors (1271578837285).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

669366149904 is an equidigital number, since it uses as much as digits as its factorization.

669366149904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4774 (or 2385 counting only the distinct ones).

The product of its (nonzero) digits is 45349632, while the sum is 63.

The spelling of 669366149904 in words is "six hundred sixty-nine billion, three hundred sixty-six million, one hundred forty-nine thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 464 522 696 841 1044 1392 1682 2088 2351 2523 3364 4176 4702 5046 6728 7053 7569 9404 10092 13456 14106 15138 18808 20184 21159 28212 30276 37616 40368 42318 56424 60552 68179 84636 112848 121104 136358 169272 204537 272716 338544 409074 545432 613611 818148 1090864 1227222 1636296 1977191 2454444 3272592 3954382 4908888 5527201 5931573 7908764 9817776 11054402 11863146 15817528 16581603 17794719 22108804 23726292 31635056 33163206 35589438 44217608 47452584 49744809 66326412 71178876 88435216 94905168 99489618 132652824 142357752 160288829 198979236 265305648 284715504 320577658 397958472 480866487 641155316 795916944 961732974 1282310632 1442599461 1923465948 2564621264 2885198922 3846931896 4648376041 5770397844 7693863792 9296752082 11540795688 13945128123 18593504164 23081591376 27890256246 37187008328 41835384369 55780512492 74374016656 83670768738 111561024984 167341537476 223122049968 334683074952 669366149904