Search a number
-
+
6776666048 = 264711319937
BaseRepresentation
bin1100100111110101…
…11011011111000000
3122111021111022012102
412103322323133000
5102334311303143
63040235245532
7326634465605
oct62372733700
918437438172
106776666048
112968284559
1213915a98a8
1383cc6bb89
144840226ac
15299e010b8
hex193ebb7c0

6776666048 has 56 divisors (see below), whose sum is σ = 13855793472. Its totient is φ = 3286728704.

The previous prime is 6776666047. The next prime is 6776666077. The reversal of 6776666048 is 8406666776.

It is a super-2 number, since 2×67766660482 = 91846405452231876608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6776665984 and 6776666002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6776666047) by changing a digit.

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, 329936 + ... + 349872.

Almost surely, 26776666048 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 6776666048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6927896736).

6776666048 is an abundant number, since it is smaller than the sum of its proper divisors (7079127424).

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

6776666048 is a wasteful number, since it uses less digits than its factorization.

6776666048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20109 (or 20099 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 56.

The square root of 6776666048 is about 82320.5080645157. The cubic root of 6776666048 is about 1892.3669800237.

The spelling of 6776666048 in words is "six billion, seven hundred seventy-six million, six hundred sixty-six thousand, forty-eight".

Divisors: 1 2 4 8 16 32 47 64 94 113 188 226 376 452 752 904 1504 1808 3008 3616 5311 7232 10622 19937 21244 39874 42488 79748 84976 159496 169952 318992 339904 637984 937039 1275968 1874078 2252881 3748156 4505762 7496312 9011524 14992624 18023048 29985248 36046096 59970496 72092192 105885407 144184384 211770814 423541628 847083256 1694166512 3388333024 6776666048