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505560560085 = 32574993216341
BaseRepresentation
bin1110101101101011100…
…00011111000111010101
31210022221101101102200100
413112311300133013111
531240342000410320
61024130141204313
751345155566650
oct7266560370725
91708841342610
10505560560085
111854528355a9
1281b93260699
133889c176609
141a67d922897
15d23ddb6790
hex75b5c1f1d5

505560560085 has 48 divisors (see below), whose sum is σ = 1003498704000. Its totient is φ = 230650174080.

The previous prime is 505560560039. The next prime is 505560560149. The reversal of 505560560085 is 580065065505.

505560560085 is a `hidden beast` number, since 5 + 0 + 5 + 5 + 6 + 0 + 560 + 0 + 85 = 666.

It is not a de Polignac number, because 505560560085 - 29 = 505560559573 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 505560560085.

It is a congruent 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 47 ways as a sum of consecutive naturals, for example, 1450986 + ... + 1765355.

It is an arithmetic number, because the mean of its divisors is an integer number (20906223000).

Almost surely, 2505560560085 is an apocalyptic number.

It is an amenable number.

505560560085 is a deficient number, since it is larger than the sum of its proper divisors (497938143915).

505560560085 is a wasteful number, since it uses less digits than its factorization.

505560560085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3216858 (or 3216855 counting only the distinct ones).

The product of its (nonzero) digits is 900000, while the sum is 45.

The spelling of 505560560085 in words is "five hundred five billion, five hundred sixty million, five hundred sixty thousand, eighty-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 315 499 1497 2495 3493 4491 7485 10479 17465 22455 31437 52395 157185 3216341 9649023 16081705 22514387 28947069 48245115 67543161 112571935 144735345 202629483 337715805 1013147415 1604954159 4814862477 8024770795 11234679113 14444587431 24074312385 33704037339 56173395565 72222937155 101112112017 168520186695 505560560085