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509868905 = 57131120591
BaseRepresentation
bin11110011000111…
…111101101101001
31022112102000122112
4132120333231221
52021011301110
6122332132105
715430546160
oct3630775551
91275360575
10509868905
11241898067
12122907035
138182c0a0
144ba043d7
152eb67405
hex1e63fb69

509868905 has 16 divisors (see below), whose sum is σ = 753037824. Its totient is φ = 322729920.

The previous prime is 509868901. The next prime is 509868941.

It is a happy number.

509868905 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 509868905 - 22 = 509868901 is a prime.

It is not an unprimeable number, because it can be changed into a prime (509868901) 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 15 ways as a sum of consecutive naturals, for example, 559841 + ... + 560750.

It is an arithmetic number, because the mean of its divisors is an integer number (47064864).

Almost surely, 2509868905 is an apocalyptic number.

It is an amenable number.

509868905 is a deficient number, since it is larger than the sum of its proper divisors (243168919).

509868905 is a wasteful number, since it uses less digits than its factorization.

509868905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120616.

The product of its (nonzero) digits is 777600, while the sum is 50.

The square root of 509868905 is about 22580.2769026423. The cubic root of 509868905 is about 798.8885111433. Note that the first 3 decimals are identical.

The spelling of 509868905 in words is "five hundred nine million, eight hundred sixty-eight thousand, nine hundred five".

Divisors: 1 5 7 13 35 65 91 455 1120591 5602955 7844137 14567683 39220685 72838415 101973781 509868905