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27920009041 = 177529218137
BaseRepresentation
bin11010000000001010…
…011000011101010001
32200001210102102011221
4122000022120131101
5424140010242131
620454250405041
72005612106161
oct320012303521
980053372157
1027920009041
1110928132041
1254b2430781
13282c491812
1414cc0ca5a1
15ad6215411
hex680298751

27920009041 has 8 divisors (see below), whose sum is σ = 29566424520. Its totient is φ = 26274044928.

The previous prime is 27920009027. The next prime is 27920009053. The reversal of 27920009041 is 14090002972.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 9657189441 + 18262819600 = 98271^2 + 135140^2 .

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 27920009041 - 25 = 27920009009 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 27920008988 and 27920009006.

It is not an unprimeable number, because it can be changed into a prime (27920009011) 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 7 ways as a sum of consecutive naturals, for example, 18925 + ... + 237061.

It is an arithmetic number, because the mean of its divisors is an integer number (3695803065).

Almost surely, 227920009041 is an apocalyptic number.

It is an amenable number.

27920009041 is a deficient number, since it is larger than the sum of its proper divisors (1646415479).

27920009041 is a wasteful number, since it uses less digits than its factorization.

27920009041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225683.

The product of its (nonzero) digits is 9072, while the sum is 34.

The spelling of 27920009041 in words is "twenty-seven billion, nine hundred twenty million, nine thousand, forty-one".

Divisors: 1 17 7529 127993 218137 3708329 1642353473 27920009041