Search a number
-
+
27676766556 = 2234196767103
BaseRepresentation
bin11001110001101010…
…011111000101011100
32122102211201102020000
4121301222133011130
5423140223012211
620414201054300
71666566430335
oct316152370534
978384642200
1027676766556
11108128a439a
125444a87390
1327c0c76b5a
1414a7a8d28c
15abebb8656
hex671a9f15c

27676766556 has 120 divisors (see below), whose sum is σ = 77298439680. Its totient is φ = 8609455008.

The previous prime is 27676766527. The next prime is 27676766563. The reversal of 27676766556 is 65566767672.

27676766556 is a `hidden beast` number, since 2 + 7 + 6 + 7 + 6 + 76 + 6 + 556 = 666.

It is a super-2 number, since 2×276767665562 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 27676766493 and 27676766502.

It is a congruent 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 39 ways as a sum of consecutive naturals, for example, 378901 + ... + 446003.

It is an arithmetic number, because the mean of its divisors is an integer number (644153664).

Almost surely, 227676766556 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27676766556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38649219840).

27676766556 is an abundant number, since it is smaller than the sum of its proper divisors (49621673124).

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

27676766556 is a wasteful number, since it uses less digits than its factorization.

27676766556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67205 (or 67194 counting only the distinct ones).

The product of its digits is 133358400, while the sum is 63.

The spelling of 27676766556 in words is "twenty-seven billion, six hundred seventy-six million, seven hundred sixty-six thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 67 76 81 108 114 134 162 171 201 228 268 324 342 402 513 603 684 804 1026 1206 1273 1539 1809 2052 2412 2546 3078 3618 3819 5092 5427 6156 7236 7638 10854 11457 15276 21708 22914 34371 45828 67103 68742 103113 134206 137484 201309 206226 268412 402618 412452 603927 805236 1207854 1274957 1811781 2415708 2549914 3623562 3824871 4495901 5099828 5435343 7247124 7649742 8991802 10870686 11474613 13487703 15299484 17983604 21741372 22949226 26975406 34423839 40463109 45898452 53950812 68847678 80926218 85422119 103271517 121389327 137695356 161852436 170844238 206543034 242778654 256266357 341688476 364167981 413086068 485557308 512532714 728335962 768799071 1025065428 1456671924 1537598142 2306397213 3075196284 4612794426 6919191639 9225588852 13838383278 27676766556