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450105250769 = 1773219924967
BaseRepresentation
bin1101000110011000101…
…11010001001111010001
31121000210121102211112022
412203030113101033101
524333303421011034
6542435301341225
744343012335216
oct6431427211721
91530717384468
10450105250769
11163985752959
1273297407815
13335a213c815
1417adc88db0d
15ba9562db2e
hex68cc5d13d1

450105250769 has 24 divisors (see below), whose sum is σ = 485647574400. Its totient is φ = 415709065728.

The previous prime is 450105250759. The next prime is 450105250787. The reversal of 450105250769 is 967052501054.

It is a happy number.

It is not a de Polignac number, because 450105250769 - 224 = 450088473553 is a prime.

It is a super-2 number, since 2×4501052507692 (a number of 24 digits) contains 22 as substring.

It is an alternating number because its digits alternate between even and odd.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (450105250709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18015524 + ... + 18040490.

It is an arithmetic number, because the mean of its divisors is an integer number (20235315600).

Almost surely, 2450105250769 is an apocalyptic number.

It is an amenable number.

450105250769 is a deficient number, since it is larger than the sum of its proper divisors (35542323631).

450105250769 is a wasteful number, since it uses less digits than its factorization.

450105250769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25329 (or 25256 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 44.

The spelling of 450105250769 in words is "four hundred fifty billion, one hundred five million, two hundred fifty thousand, seven hundred sixty-nine".

Divisors: 1 17 73 199 1241 3383 5329 14527 24967 90593 246959 424439 1060471 1822591 4968433 18028007 30984047 84463361 133049143 362695609 2261835431 6165825353 26476779457 450105250769