Search a number
-
+
2968668692 = 221128968917
BaseRepresentation
bin1011000011110010…
…0100101000010100
321122220001222212022
42300330210220110
522034434344232
61210324512312
7133365160523
oct26074445024
97586058768
102968668692
111293810800
126aa24b698
133840645c2
142023ac4ba
15125955812
hexb0f24a14

2968668692 has 36 divisors (see below), whose sum is σ = 5774639220. Its totient is φ = 1334213760.

The previous prime is 2968668691. The next prime is 2968668697.

2968668692 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 789272836 + 2179395856 = 28094^2 + 46684^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2968668691) 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 11 ways as a sum of consecutive naturals, for example, 8618 + ... + 77534.

It is an arithmetic number, because the mean of its divisors is an integer number (160406645).

Almost surely, 22968668692 is an apocalyptic number.

2968668692 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2968668692 is a deficient number, since it is larger than the sum of its proper divisors (2805970528).

2968668692 is a wasteful number, since it uses less digits than its factorization.

2968668692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69032 (or 69019 counting only the distinct ones).

The product of its digits is 26873856, while the sum is 62.

The square root of 2968668692 is about 54485.4906557700. The cubic root of 2968668692 is about 1437.2111487372.

The spelling of 2968668692 in words is "two billion, nine hundred sixty-eight million, six hundred sixty-eight thousand, six hundred ninety-two".

Divisors: 1 2 4 11 22 44 89 121 178 242 356 484 979 1958 3916 10769 21538 43076 68917 137834 275668 758087 1516174 3032348 6133613 8338957 12267226 16677914 24534452 33355828 67469743 134939486 269878972 742167173 1484334346 2968668692