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55255430400541 = 7273137112754909
BaseRepresentation
bin11001001000001001010000…
…10011010000101000011101
321020122100220221122011210021
430210010220103100220131
524220301110140304131
6313303554433512141
714432034034646500
oct1444045023205035
9236570827564707
1055255430400541
1116673772a56128
126244a57a12651
1324aa74592b687
14d9053ca9d137
1565c4c1cbce11
hex3241284d0a1d

55255430400541 has 24 divisors (see below), whose sum is σ = 65632829032440. Its totient is φ = 46372034483712.

The previous prime is 55255430400473. The next prime is 55255430400553. The reversal of 55255430400541 is 14500403455255.

It can be written as a sum of positive squares in 4 ways, for example, as 17056726540441 + 38198703860100 = 4129979^2 + 6180510^2 .

It is a de Polignac number, because none of the positive numbers 2k-55255430400541 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55255430400941) 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 in 23 ways as a sum of consecutive naturals, for example, 55887406 + ... + 56867503.

It is an arithmetic number, because the mean of its divisors is an integer number (2734701209685).

Almost surely, 255255430400541 is an apocalyptic number.

It is an amenable number.

55255430400541 is a deficient number, since it is larger than the sum of its proper divisors (10377398631899).

55255430400541 is a wasteful number, since it uses less digits than its factorization.

55255430400541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112755133 (or 112755126 counting only the distinct ones).

The product of its (nonzero) digits is 1200000, while the sum is 43.

Adding to 55255430400541 its reverse (14500403455255), we get a palindrome (69755833855796).

The spelling of 55255430400541 in words is "fifty-five trillion, two hundred fifty-five billion, four hundred thirty million, four hundred thousand, five hundred forty-one".

Divisors: 1 7 49 73 137 511 959 3577 6713 10001 70007 490049 112754909 789284363 5524990541 8231108357 15447422533 57617758499 108131957731 403324309493 756923704117 1127661844909 7893632914363 55255430400541