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505423324505 = 51173147185577
BaseRepresentation
bin1110101101011011001…
…00111110010101011001
31210022120211011010212002
413112231210332111121
531240101332341010
61024104355530345
751341601242141
oct7265544762531
91708524133762
10505423324505
11185392321470
1281b552b99b5
13388798c6628
141a6695db921
15d231d091a5
hex75ad93e559

505423324505 has 32 divisors (see below), whose sum is σ = 671172507648. Its totient is φ = 362294553600.

The previous prime is 505423324459. The next prime is 505423324507.

505423324505 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 505423324505 - 210 = 505423323481 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (505423324507) 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 31 ways as a sum of consecutive naturals, for example, 5863277 + ... + 5948853.

It is an arithmetic number, because the mean of its divisors is an integer number (20974140864).

Almost surely, 2505423324505 is an apocalyptic number.

505423324505 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

505423324505 is a deficient number, since it is larger than the sum of its proper divisors (165749183143).

505423324505 is a wasteful number, since it uses less digits than its factorization.

505423324505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87137.

The product of its (nonzero) digits is 360000, while the sum is 38.

It can be divided in two parts, 505423 and 324505, that added together give a palindrome (829928).

The spelling of 505423324505 in words is "five hundred five billion, four hundred twenty-three million, three hundred twenty-four thousand, five hundred five".

Divisors: 1 5 11 55 73 365 803 1471 4015 7355 16181 80905 85577 107383 427885 536915 941347 1181213 4706735 5906065 6247121 31235605 68718331 125883767 343591655 629418835 1384721437 6923607185 9189514991 45947574955 101084664901 505423324505