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505544141445505 = 51741263551569891
BaseRepresentation
bin111001011110010100010101…
…0111110000001100110000001
32110021222112210102211020210021
41302330220222332001212001
51012230313400202224010
64551111434501533441
7211325234050614361
oct16274505276014601
92407875712736707
10505544141445505
1113709a0803790a8
1248849a12114281
13189117b9971c36
148cba6776469a1
153d6a56b0ee8da
hex1cbca2af81981

505544141445505 has 32 divisors (see below), whose sum is σ = 660507151949568. Its totient is φ = 369948956620800.

The previous prime is 505544141445463. The next prime is 505544141445521.

505544141445505 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 505544141445505 - 225 = 505544107891073 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 274868391 + ... + 276701500.

It is an arithmetic number, because the mean of its divisors is an integer number (20640848498424).

Almost surely, 2505544141445505 is an apocalyptic number.

It is an amenable number.

505544141445505 is a deficient number, since it is larger than the sum of its proper divisors (154963010504063).

505544141445505 is a wasteful number, since it uses less digits than its factorization.

505544141445505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551570217.

The product of its (nonzero) digits is 16000000, while the sum is 52.

The spelling of 505544141445505 in words is "five hundred five trillion, five hundred forty-four billion, one hundred forty-one million, four hundred forty-five thousand, five hundred five".

Divisors: 1 5 17 41 85 205 263 697 1315 3485 4471 10783 22355 53915 183311 916555 551569891 2757849455 9376688147 22614365531 46883440735 113071827655 145062881333 384444214027 725314406665 1922221070135 2466068982661 5947578134653 12330344913305 29737890673265 101108828289101 505544141445505