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48084080053 is a prime number
BaseRepresentation
bin101100110010000010…
…001101010110110101
311121010001200100112211
4230302002031112311
51241434011030203
634031200413421
73321365636212
oct546202152665
9147101610484
1048084080053
1119435234039
12939b317271
1346c3b53b99
1424820c0b09
1513b658ec6d
hexb3208d5b5

48084080053 has 2 divisors, whose sum is σ = 48084080054. Its totient is φ = 48084080052.

The previous prime is 48084079993. The next prime is 48084080069. The reversal of 48084080053 is 35008048084.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 48082841284 + 1238769 = 219278^2 + 1113^2 .

It is a cyclic number.

It is not a de Polignac number, because 48084080053 - 229 = 47547209141 is a prime.

It is a super-3 number, since 3×480840800533 (a number of 33 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 48084079988 and 48084080015.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (48084080153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 24042040026 + 24042040027.

It is an arithmetic number, because the mean of its divisors is an integer number (24042040027).

Almost surely, 248084080053 is an apocalyptic number.

It is an amenable number.

48084080053 is a deficient number, since it is larger than the sum of its proper divisors (1).

48084080053 is an equidigital number, since it uses as much as digits as its factorization.

48084080053 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 122880, while the sum is 40.

The spelling of 48084080053 in words is "forty-eight billion, eighty-four million, eighty thousand, fifty-three".