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540811689241 is a prime number
BaseRepresentation
bin1111101111010101110…
…00110111110100011001
31220200221002121100001111
413313222320313310121
532330040243023431
61052240115220321
754033550340155
oct7675270676431
91820832540044
10540811689241
111993a211069a
12889908a76a1
133bcc9416915
141c265520065
15e103a007b1
hex7deae37d19

540811689241 has 2 divisors, whose sum is σ = 540811689242. Its totient is φ = 540811689240.

The previous prime is 540811689199. The next prime is 540811689251. The reversal of 540811689241 is 142986118045.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 540695502400 + 116186841 = 735320^2 + 10779^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-540811689241 is a prime.

It is not a weakly prime, because it can be changed into another prime (540811689251) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 270405844620 + 270405844621.

It is an arithmetic number, because the mean of its divisors is an integer number (270405844621).

Almost surely, 2540811689241 is an apocalyptic number.

It is an amenable number.

540811689241 is a deficient number, since it is larger than the sum of its proper divisors (1).

540811689241 is an equidigital number, since it uses as much as digits as its factorization.

540811689241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 552960, while the sum is 49.

The spelling of 540811689241 in words is "five hundred forty billion, eight hundred eleven million, six hundred eighty-nine thousand, two hundred forty-one".