Search a number
-
+
1066936749856 = 251371811344589
BaseRepresentation
bin11111000011010100110…
…00101100111100100000
310202222221122201122010121
433201222120230330200
5114440041301443411
62134051033210024
7140040454511155
oct17415230547440
93688848648117
101066936749856
11381537a8687a
12152942b60914
13797c4bb4533
14398d62b022c
151cb47e8c571
hexf86a62cf20

1066936749856 has 48 divisors (see below), whose sum is σ = 2127555513720. Its totient is φ = 526648227840.

The previous prime is 1066936749829. The next prime is 1066936749887. The reversal of 1066936749856 is 6589476396601.

It can be written as a sum of positive squares in 4 ways, for example, as 289965018256 + 776971731600 = 538484^2 + 881460^2 .

It is a super-2 number, since 2×10669367498562 (a number of 25 digits) contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 121210 + ... + 1465798.

Almost surely, 21066936749856 is an apocalyptic number.

1066936749856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1066936749856 is a deficient number, since it is larger than the sum of its proper divisors (1060618763864).

1066936749856 is a wasteful number, since it uses less digits than its factorization.

1066936749856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1344917 (or 1344909 counting only the distinct ones).

The product of its (nonzero) digits is 352719360, while the sum is 70.

The spelling of 1066936749856 in words is "one trillion, sixty-six billion, nine hundred thirty-six million, seven hundred forty-nine thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 16 32 137 181 274 362 548 724 1096 1448 2192 2896 4384 5792 24797 49594 99188 198376 396752 793504 1344589 2689178 5378356 10756712 21513424 43026848 184208693 243370609 368417386 486741218 736834772 973482436 1473669544 1946964872 2947339088 3893929744 5894678176 7787859488 33341773433 66683546866 133367093732 266734187464 533468374928 1066936749856