Search a number
-
+
27185165168 = 2471022323743
BaseRepresentation
bin11001010100010111…
…001011001101110000
32121011120200110220012
4121110113023031300
5421133400241133
620253320234052
71651450043210
oct312427131560
977146613805
1027185165168
1110590353a57
12532830b928
132743172765
14145c682240
15a9195db48
hex6545cb370

27185165168 has 40 divisors (see below), whose sum is σ = 60204146688. Its totient is φ = 11649154752.

The previous prime is 27185165113. The next prime is 27185165191. The reversal of 27185165168 is 86156158172.

It is a super-2 number, since 2×271851651682 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1133105 + ... + 1156847.

Almost surely, 227185165168 is an apocalyptic number.

27185165168 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

27185165168 is an abundant number, since it is smaller than the sum of its proper divisors (33018981520).

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

27185165168 is a wasteful number, since it uses less digits than its factorization.

27185165168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33981 (or 33975 counting only the distinct ones).

The product of its digits is 806400, while the sum is 50.

The spelling of 27185165168 in words is "twenty-seven billion, one hundred eighty-five million, one hundred sixty-five thousand, one hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 56 112 10223 20446 23743 40892 47486 71561 81784 94972 143122 163568 166201 189944 286244 332402 379888 572488 664804 1144976 1329608 2659216 242724689 485449378 970898756 1699072823 1941797512 3398145646 3883595024 6796291292 13592582584 27185165168