Search a number
-
+
6766960896 = 28322937049
BaseRepresentation
bin1100100110101011…
…11010000100000000
3122110121020020020100
412103111322010000
5102324320222041
63035251242400
7326456134653
oct62325720400
918417206210
106766960896
112962855973
12138a2a9400
1383ac51597
14482a1789a
152991356b6
hex19357a100

6766960896 has 54 divisors (see below), whose sum is σ = 19510823150. Its totient is φ = 2255652864.

The previous prime is 6766960853. The next prime is 6766960897. The reversal of 6766960896 is 6980696676.

It can be written as a sum of positive squares in only one way, i.e., 4014489600 + 2752471296 = 63360^2 + 52464^2 .

It is not an unprimeable number, because it can be changed into a prime (6766960897) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 1466221 + ... + 1470828.

Almost surely, 26766960896 is an apocalyptic number.

It is an amenable number.

6766960896 is an abundant number, since it is smaller than the sum of its proper divisors (12743862254).

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

6766960896 is a wasteful number, since it uses less digits than its factorization.

6766960896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2937071 (or 2937054 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 63.

The square root of 6766960896 is about 82261.5395917193. The cubic root of 6766960896 is about 1891.4631686475.

The spelling of 6766960896 in words is "six billion, seven hundred sixty-six million, nine hundred sixty thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 2937049 5874098 8811147 11748196 17622294 23496392 26433441 35244588 46992784 52866882 70489176 93985568 105733764 140978352 187971136 211467528 281956704 375942272 422935056 563913408 751884544 845870112 1127826816 1691740224 2255653632 3383480448 6766960896