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48404814041 is a prime number
BaseRepresentation
bin101101000101001001…
…101101100011011001
311121221102012022212102
4231011021231203121
51243113113022131
634123055053145
73332342062553
oct550511554331
9147842168772
1048404814041
111958a28a251
12946a8111b5
1347454311cc
1424b29304d3
1513d47e71cb
hexb4526d8d9

48404814041 has 2 divisors, whose sum is σ = 48404814042. Its totient is φ = 48404814040.

The previous prime is 48404814023. The next prime is 48404814047. The reversal of 48404814041 is 14041840484.

48404814041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 42041401600 + 6363412441 = 205040^2 + 79771^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-48404814041 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 48404813986 and 48404814004.

It is not a weakly prime, because it can be changed into another prime (48404814047) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 24202407020 + 24202407021.

It is an arithmetic number, because the mean of its divisors is an integer number (24202407021).

Almost surely, 248404814041 is an apocalyptic number.

It is an amenable number.

48404814041 is a deficient number, since it is larger than the sum of its proper divisors (1).

48404814041 is an equidigital number, since it uses as much as digits as its factorization.

48404814041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 65536, while the sum is 38.

The spelling of 48404814041 in words is "forty-eight billion, four hundred four million, eight hundred fourteen thousand, forty-one".