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4941336449 = 72953105817
BaseRepresentation
bin1001001101000011…
…01100111110000001
3110202100222220022002
410212201230332001
540104440231244
62134153553345
7233310444500
oct44641547601
913670886262
104941336449
11210628a235
12b5aa15855
1360995c02a
1434c390837
151ddc19a4e
hex12686cf81

4941336449 has 12 divisors (see below), whose sum is σ = 5754171204. Its totient is φ = 4230946944.

The previous prime is 4941336431. The next prime is 4941336457. The reversal of 4941336449 is 9446331494.

It can be written as a sum of positive squares in 2 ways, for example, as 3704548225 + 1236788224 = 60865^2 + 35168^2 .

It is a de Polignac number, because none of the positive numbers 2k-4941336449 is a prime.

It is a super-3 number, since 3×49413364493 (a number of 30 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4941336409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6212 + ... + 99605.

It is an arithmetic number, because the mean of its divisors is an integer number (479514267).

Almost surely, 24941336449 is an apocalyptic number.

4941336449 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

It is an amenable number.

4941336449 is a deficient number, since it is larger than the sum of its proper divisors (812834755).

4941336449 is a wasteful number, since it uses less digits than its factorization.

4941336449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106784 (or 106777 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 47.

The square root of 4941336449 is about 70294.6402579884. The cubic root of 4941336449 is about 1703.2620697443.

The spelling of 4941336449 in words is "four billion, nine hundred forty-one million, three hundred thirty-six thousand, four hundred forty-nine".

Divisors: 1 7 49 953 6671 46697 105817 740719 5185033 100843601 705905207 4941336449