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540917664769 is a prime number
BaseRepresentation
bin1111101111100010011…
…01001000110000000001
31220201012111000110011001
413313301031020300001
532330244410233034
61052254422452001
754036305200546
oct7676115106001
91821174013131
10540917664769
11199446a13679
1288a00294001
133c015370231
141c275628bcd
15e10ce85a14
hex7df1348c01

540917664769 has 2 divisors, whose sum is σ = 540917664770. Its totient is φ = 540917664768.

The previous prime is 540917664733. The next prime is 540917664773. The reversal of 540917664769 is 967466719045.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 518958870544 + 21958794225 = 720388^2 + 148185^2 .

It is a cyclic number.

It is not a de Polignac number, because 540917664769 - 211 = 540917662721 is a prime.

It is a super-2 number, since 2×5409176647692 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 540917664769.

It is not a weakly prime, because it can be changed into another prime (540917664719) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 270458832384 + 270458832385.

It is an arithmetic number, because the mean of its divisors is an integer number (270458832385).

Almost surely, 2540917664769 is an apocalyptic number.

It is an amenable number.

540917664769 is a deficient number, since it is larger than the sum of its proper divisors (1).

540917664769 is an equidigital number, since it uses as much as digits as its factorization.

540917664769 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 68584320, while the sum is 64.

The spelling of 540917664769 in words is "five hundred forty billion, nine hundred seventeen million, six hundred sixty-four thousand, seven hundred sixty-nine".