Search a number
-
+
275201363288566 = 2111314332113317789
BaseRepresentation
bin111110100100101101001111…
…100000000010000111110110
31100002101222211011220212121201
4332210231033200002013312
5242032344343000213231
62413145432211403114
7111652433221412161
oct7644551740020766
91302358734825551
10275201363288566
117a762274100aa0
1226a47a4b8b349a
13ba734b9942a20
144bd5b61dcaad8
1521c394426d161
hexfa4b4f8021f6

275201363288566 has 64 divisors (see below), whose sum is σ = 485539870052160. Its totient is φ = 115333553111040.

The previous prime is 275201363288483. The next prime is 275201363288587. The reversal of 275201363288566 is 665882363102572.

275201363288566 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2752013632885662 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 275201363288498 and 275201363288507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 865828800 + ... + 866146588.

It is an arithmetic number, because the mean of its divisors is an integer number (7586560469565).

Almost surely, 2275201363288566 is an apocalyptic number.

275201363288566 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

275201363288566 is a deficient number, since it is larger than the sum of its proper divisors (210338506763594).

275201363288566 is a wasteful number, since it uses less digits than its factorization.

275201363288566 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321361.

The product of its (nonzero) digits is 174182400, while the sum is 64.

The spelling of 275201363288566 in words is "two hundred seventy-five trillion, two hundred one billion, three hundred sixty-three million, two hundred eighty-eight thousand, five hundred sixty-six".

Divisors: 1 2 11 13 22 26 143 286 1433 2113 2866 4226 15763 18629 23243 27469 31526 37258 46486 54938 204919 302159 317789 409838 604318 635578 3027929 3495679 4131257 6055858 6991358 8262514 33307219 39363077 45443827 66614438 78726154 90887654 432993847 455391637 671488157 865987694 910783274 1342976314 5009308007 5920091281 7386369727 8729346041 10018616014 11840182562 14772739454 17458692082 65121004091 96022806451 130242008182 192045612902 962242528981 1924485057962 10584667818791 12509152876753 21169335637582 25018305753506 137600681644283 275201363288566