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21847546597157 is a prime number
BaseRepresentation
bin1001111011110110001110…
…10000010000111100100101
32212100121100002100001202022
410331323013100100330211
510330422233412102112
6114244342505352525
74413301400002511
oct475730720207445
985317302301668
1021847546597157
116a63546542916
12254a24b198745
13c262a3c02aa8
145575d9599141
1527d488baed72
hex13dec7410f25

21847546597157 has 2 divisors, whose sum is σ = 21847546597158. Its totient is φ = 21847546597156.

The previous prime is 21847546597147. The next prime is 21847546597159. The reversal of 21847546597157 is 75179564574812.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21194293083076 + 653253514081 = 4603726^2 + 808241^2 .

It is a cyclic number.

It is not a de Polignac number, because 21847546597157 - 240 = 20748034969381 is a prime.

Together with 21847546597159, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21847546597159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10923773298578 + 10923773298579.

It is an arithmetic number, because the mean of its divisors is an integer number (10923773298579).

Almost surely, 221847546597157 is an apocalyptic number.

It is an amenable number.

21847546597157 is a deficient number, since it is larger than the sum of its proper divisors (1).

21847546597157 is an equidigital number, since it uses as much as digits as its factorization.

21847546597157 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 592704000, while the sum is 71.

The spelling of 21847546597157 in words is "twenty-one trillion, eight hundred forty-seven billion, five hundred forty-six million, five hundred ninety-seven thousand, one hundred fifty-seven".