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4540564414381 is a prime number
BaseRepresentation
bin100001000010010111010…
…1110101001111110101101
3121002001222202000011122111
41002010232232221332231
51043343033442230011
613353523445244021
7646021263501322
oct102045656517655
917061882004574
104540564414381
1114a070826aa76
12613ba9a03611
1326c233c15168
14119a9ba92b49
157d19ce14121
hex4212eba9fad

4540564414381 has 2 divisors, whose sum is σ = 4540564414382. Its totient is φ = 4540564414380.

The previous prime is 4540564414367. The next prime is 4540564414459. The reversal of 4540564414381 is 1834144650454.

4540564414381 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 4067921914281 + 472642500100 = 2016909^2 + 687490^2 .

It is a cyclic number.

It is not a de Polignac number, because 4540564414381 - 223 = 4540556025773 is a prime.

It is a super-2 number, since 2×45405644143812 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4540564414181) 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, 2270282207190 + 2270282207191.

It is an arithmetic number, because the mean of its divisors is an integer number (2270282207191).

Almost surely, 24540564414381 is an apocalyptic number.

It is an amenable number.

4540564414381 is a deficient number, since it is larger than the sum of its proper divisors (1).

4540564414381 is an equidigital number, since it uses as much as digits as its factorization.

4540564414381 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3686400, while the sum is 49.

The spelling of 4540564414381 in words is "four trillion, five hundred forty billion, five hundred sixty-four million, four hundred fourteen thousand, three hundred eighty-one".