Search a number
-
+
27945767136 = 253741585963
BaseRepresentation
bin11010000001101100…
…101001000011100000
32200010120220001122110
4122001230221003200
5424213104022021
620501010435320
72006344046520
oct320154510340
980116801573
1027945767136
1110940725521
1254bab92b40
13283490cab1
1414d16b3680
15ad8602476
hex681b290e0

27945767136 has 48 divisors (see below), whose sum is σ = 83837303424. Its totient is φ = 7984504704.

The previous prime is 27945767077. The next prime is 27945767159. The reversal of 27945767136 is 63176754972.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20792310 + ... + 20793653.

It is an arithmetic number, because the mean of its divisors is an integer number (1746610488).

Almost surely, 227945767136 is an apocalyptic number.

It is an amenable number.

27945767136 is an abundant number, since it is smaller than the sum of its proper divisors (55891536288).

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

27945767136 is a wasteful number, since it uses less digits than its factorization.

27945767136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41585983 (or 41585975 counting only the distinct ones).

The product of its digits is 13335840, while the sum is 57.

The spelling of 27945767136 in words is "twenty-seven billion, nine hundred forty-five million, seven hundred sixty-seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 41585963 83171926 124757889 166343852 249515778 291101741 332687704 499031556 582203482 665375408 873305223 998063112 1164406964 1330750816 1746610446 1996126224 2328813928 3493220892 3992252448 4657627856 6986441784 9315255712 13972883568 27945767136