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427739590177 is a prime number
BaseRepresentation
bin1100011100101110100…
…01000010111000100001
31111220001220111120000121
412032113101002320201
524002002313341202
6524300103520241
742621533345524
oct6162721027041
91456056446017
10427739590177
11155448936039
126aa95159081
1331449610423
14169ba326bbb
15b1d6d71537
hex6397442e21

427739590177 has 2 divisors, whose sum is σ = 427739590178. Its totient is φ = 427739590176.

The previous prime is 427739590123. The next prime is 427739590219. The reversal of 427739590177 is 771095937724.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 427296235041 + 443355136 = 653679^2 + 21056^2 .

It is a cyclic number.

It is not a de Polignac number, because 427739590177 - 27 = 427739590049 is a prime.

It is a super-2 number, since 2×4277395901772 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (427739590277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 213869795088 + 213869795089.

It is an arithmetic number, because the mean of its divisors is an integer number (213869795089).

Almost surely, 2427739590177 is an apocalyptic number.

It is an amenable number.

427739590177 is a deficient number, since it is larger than the sum of its proper divisors (1).

427739590177 is an equidigital number, since it uses as much as digits as its factorization.

427739590177 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23337720, while the sum is 61.

The spelling of 427739590177 in words is "four hundred twenty-seven billion, seven hundred thirty-nine million, five hundred ninety thousand, one hundred seventy-seven".