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268301720565 = 3255962260457
BaseRepresentation
bin1111100111100000000…
…1110101101111110101
3221122112102000120221200
43321320001311233311
513343440220024230
6323131153003113
725245523665444
oct3717001655765
9848472016850
10268301720565
11a387136584a
1243bb9853499
131c3ba970448
14cdb333cd5b
156ea4921160
hex3e78075bf5

268301720565 has 12 divisors (see below), whose sum is σ = 465056315724. Its totient is φ = 143094250944.

The previous prime is 268301720563. The next prime is 268301720593. The reversal of 268301720565 is 565027103862.

268301720565 is a `hidden beast` number, since 2 + 6 + 83 + 0 + 1 + 7 + 2 + 0 + 565 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 70861907601 + 197439812964 = 266199^2 + 444342^2 .

It is not a de Polignac number, because 268301720565 - 21 = 268301720563 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 5962260457 = 268301720565 / (2 + 6 + 8 + 3 + 0 + 1 + 7 + 2 + 0 + 5 + 6 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 268301720565.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268301720563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2981130184 + ... + 2981130273.

It is an arithmetic number, because the mean of its divisors is an integer number (38754692977).

Almost surely, 2268301720565 is an apocalyptic number.

It is an amenable number.

268301720565 is a deficient number, since it is larger than the sum of its proper divisors (196754595159).

268301720565 is a wasteful number, since it uses less digits than its factorization.

268301720565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5962260468 (or 5962260465 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 268301720565 in words is "two hundred sixty-eight billion, three hundred one million, seven hundred twenty thousand, five hundred sixty-five".

Divisors: 1 3 5 9 15 45 5962260457 17886781371 29811302285 53660344113 89433906855 268301720565