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2643448041 = 3613733821
BaseRepresentation
bin1001110110001111…
…1101000011101001
320211020010002000000
42131203331003221
520403210314131
61114150133213
7122335636413
oct23543750351
96736102000
102643448041
111137180703
12619351209
13331876050
141b11119b3
15107113ce6
hex9d8fd0e9

2643448041 has 56 divisors (see below), whose sum is σ = 4327834056. Its totient is φ = 1604033280.

The previous prime is 2643448039. The next prime is 2643448043. The reversal of 2643448041 is 1408443462.

2643448041 is a `hidden beast` number, since 2 + 643 + 4 + 4 + 8 + 0 + 4 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (2643448039) and next prime (2643448043).

It can be written as a sum of positive squares in 4 ways, for example, as 524226816 + 2119221225 = 22896^2 + 46035^2 .

It is not a de Polignac number, because 2643448041 - 21 = 2643448039 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2643447987 and 2643448005.

It is not an unprimeable number, because it can be changed into a prime (2643448043) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 689911 + ... + 693731.

It is an arithmetic number, because the mean of its divisors is an integer number (77282751).

Almost surely, 22643448041 is an apocalyptic number.

It is an amenable number.

2643448041 is a deficient number, since it is larger than the sum of its proper divisors (1684386015).

2643448041 is an equidigital number, since it uses as much as digits as its factorization.

2643448041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3925 (or 3910 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 2643448041 is about 51414.4730693605. The cubic root of 2643448041 is about 1382.6860868272.

The spelling of 2643448041 in words is "two billion, six hundred forty-three million, four hundred forty-eight thousand, forty-one".

Divisors: 1 3 9 13 27 39 73 81 117 219 243 351 657 729 949 1053 1971 2847 3159 3821 5913 8541 9477 11463 17739 25623 34389 49673 53217 76869 103167 149019 230607 278933 309501 447057 691821 836799 928503 1341171 2510397 2785509 3626129 4023513 7531191 10878387 12070539 22593573 32635161 36211617 67780719 97905483 203342157 293716449 881149347 2643448041