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505225311541 = 1729161190829
BaseRepresentation
bin1110101101000011100…
…01100111010100110101
31210022002000120001010121
413112201301213110311
531234200134432131
61024033003451541
751333645201646
oct7264161472465
91708060501117
10505225311541
111852a0576395
1281abab26bb1
13388478868b2
141a64b1b56cd
15d21e743911
hex75a1c67535

505225311541 has 12 divisors (see below), whose sum is σ = 536754029220. Its totient is φ = 475451778560.

The previous prime is 505225311457. The next prime is 505225311571. The reversal of 505225311541 is 145113522505.

It can be written as a sum of positive squares in 6 ways, for example, as 86265564100 + 418959747441 = 293710^2 + 647271^2 .

It is not a de Polignac number, because 505225311541 - 27 = 505225311413 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 505225311497 and 505225311506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505225311571) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2552115 + ... + 2742943.

It is an arithmetic number, because the mean of its divisors is an integer number (44729502435).

Almost surely, 2505225311541 is an apocalyptic number.

It is an amenable number.

505225311541 is a deficient number, since it is larger than the sum of its proper divisors (31528717679).

505225311541 is a wasteful number, since it uses less digits than its factorization.

505225311541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200024 (or 200007 counting only the distinct ones).

The product of its (nonzero) digits is 30000, while the sum is 34.

The spelling of 505225311541 in words is "five hundred five billion, two hundred twenty-five million, three hundred eleven thousand, five hundred forty-one".

Divisors: 1 17 289 9161 155737 190829 2647529 3244093 55149581 1748184469 29719135973 505225311541