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36306431041 = 377011399793
BaseRepresentation
bin100001110100000010…
…000010110001000001
310110201020221210102011
4201310002002301001
51043323421243131
624402352452521
72423464400116
oct416402026101
9113636853364
1036306431041
1114441041011
127052b4a141
133567aa0bba
141a85c2290d
15e275e10b1
hex874082c41

36306431041 has 8 divisors (see below), whose sum is σ = 37340904744. Its totient is φ = 35274758400.

The previous prime is 36306431011. The next prime is 36306431059. The reversal of 36306431041 is 14013460363.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 20330482225 + 15975948816 = 142585^2 + 126396^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 36306431041 - 29 = 36306430529 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 36306430994 and 36306431012.

It is not an unprimeable number, because it can be changed into a prime (36306431011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 673960 + ... + 725833.

It is an arithmetic number, because the mean of its divisors is an integer number (4667613093).

Almost surely, 236306431041 is an apocalyptic number.

It is an amenable number.

36306431041 is a deficient number, since it is larger than the sum of its proper divisors (1034473703).

36306431041 is a wasteful number, since it uses less digits than its factorization.

36306431041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1400531.

The product of its (nonzero) digits is 15552, while the sum is 31.

The spelling of 36306431041 in words is "thirty-six billion, three hundred six million, four hundred thirty-one thousand, forty-one".

Divisors: 1 37 701 25937 1399793 51792341 981254893 36306431041