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540946123177 is a prime number
BaseRepresentation
bin1111101111100101110…
…01101100100110101001
31220201021110120021202011
413313302321230212221
532330324201420202
61052301320435521
754040102115635
oct7676271544651
91821243507664
10540946123177
11199460a90919
1288a09918ba1
133c01b225625
141c279315dc5
15e110707bd7
hex7df2e6c9a9

540946123177 has 2 divisors, whose sum is σ = 540946123178. Its totient is φ = 540946123176.

The previous prime is 540946123127. The next prime is 540946123217. The reversal of 540946123177 is 771321649045.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 522178219161 + 18767904016 = 722619^2 + 136996^2 .

It is a cyclic number.

It is not a de Polignac number, because 540946123177 - 219 = 540945598889 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 540946123177.

It is not a weakly prime, because it can be changed into another prime (540946123127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 270473061588 + 270473061589.

It is an arithmetic number, because the mean of its divisors is an integer number (270473061589).

Almost surely, 2540946123177 is an apocalyptic number.

It is an amenable number.

540946123177 is a deficient number, since it is larger than the sum of its proper divisors (1).

540946123177 is an equidigital number, since it uses as much as digits as its factorization.

540946123177 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1270080, while the sum is 49.

The spelling of 540946123177 in words is "five hundred forty billion, nine hundred forty-six million, one hundred twenty-three thousand, one hundred seventy-seven".