Search a number
-
+
266004363401300 = 2252191667451718593
BaseRepresentation
bin111100011110110111110111…
…100101101101100001010100
31021212211202202110001212202102
4330132313313211231201110
5234331203414012320200
62341424414553501232
7110013116046262136
oct7436676745554124
91255752673055672
10266004363401300
11778368a9469887
1225a01517111818
13b557147187804
144998973859056
1520b45b5bd46d5
hexf1edf796d854

266004363401300 has 144 divisors (see below), whose sum is σ = 608141763311040. Its totient is φ = 100713464893440.

The previous prime is 266004363401299. The next prime is 266004363401323. The reversal of 266004363401300 is 3104363400662.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14306684804 + ... + 14306703396.

It is an arithmetic number, because the mean of its divisors is an integer number (4223206689660).

Almost surely, 2266004363401300 is an apocalyptic number.

266004363401300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 266004363401300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304070881655520).

266004363401300 is an abundant number, since it is smaller than the sum of its proper divisors (342137399909740).

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

266004363401300 is a wasteful number, since it uses less digits than its factorization.

266004363401300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24810 (or 24803 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 38.

The spelling of 266004363401300 in words is "two hundred sixty-six trillion, four billion, three hundred sixty-three million, four hundred one thousand, three hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 380 475 950 1667 1900 3334 4517 6668 8335 9034 16670 18068 18593 22585 31673 33340 37186 41675 45170 63346 74372 83350 85823 90340 92965 112925 126692 158365 166700 171646 185930 225850 316730 343292 353267 371860 429115 451700 464825 633460 706534 791825 858230 929650 1413068 1583650 1716460 1766335 1859300 2145575 3167300 3532670 4291150 7065340 7529839 8582300 8831675 15059678 17663350 30119356 30994531 35326700 37649195 61989062 75298390 83984581 123978124 143066941 150596780 154972655 167969162 188245975 286133882 309945310 335938324 376491950 419922905 572267764 588896089 619890620 715334705 752983900 774863275 839845810 1177792178 1430669410 1549726550 1595707039 1679691620 2099614525 2355584356 2861338820 2944480445 3099453100 3191414078 3576673525 4199229050 5888960890 6382828156 7153347050 7978535195 8398458100 11777921780 14306694100 14722402225 15957070390 29444804450 31914140780 39892675975 58889608900 79785351950 140002296527 159570703900 280004593054 560009186108 700011482635 1400022965270 2660043634013 2800045930540 3500057413175 5320087268026 7000114826350 10640174536052 13300218170065 14000229652700 26600436340130 53200872680260 66501090850325 133002181700650 266004363401300