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54821746093 is a prime number
BaseRepresentation
bin110011000011101000…
…010111010110101101
312020111121210020210111
4303003220113112231
51344233331333333
641103524140021
73650351103352
oct630350272655
9166447706714
1054821746093
11212824a0284
12a75b837611
1352289b941a
142920c70629
15165cd3a4cd
hexcc3a175ad

54821746093 has 2 divisors, whose sum is σ = 54821746094. Its totient is φ = 54821746092.

The previous prime is 54821746033. The next prime is 54821746151. The reversal of 54821746093 is 39064712845.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 35282738569 + 19539007524 = 187837^2 + 139782^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-54821746093 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (54821746033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 27410873046 + 27410873047.

It is an arithmetic number, because the mean of its divisors is an integer number (27410873047).

It is a 1-persistent number, because it is pandigital, but 2⋅54821746093 = 109643492186 is not.

Almost surely, 254821746093 is an apocalyptic number.

It is an amenable number.

54821746093 is a deficient number, since it is larger than the sum of its proper divisors (1).

54821746093 is an equidigital number, since it uses as much as digits as its factorization.

54821746093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1451520, while the sum is 49.

The spelling of 54821746093 in words is "fifty-four billion, eight hundred twenty-one million, seven hundred forty-six thousand, ninety-three".