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55000610505 = 3254129810629
BaseRepresentation
bin110011001110010010…
…101011011011001001
312020222002100111122100
4303032102223123021
51400120124014010
641133353544013
73654652322061
oct631622533311
9166862314570
1055000610505
1121364457805
12a7ab715009
135256a83459
14293a9103a1
15166d8bc2c0
hexcce4ab6c9

55000610505 has 24 divisors (see below), whose sum is σ = 97659623880. Its totient is φ = 28618202880.

The previous prime is 55000610503. The next prime is 55000610521. The reversal of 55000610505 is 50501600055.

55000610505 is a `hidden beast` number, since 550 + 0 + 0 + 6 + 105 + 0 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5407102089 + 49593508416 = 73533^2 + 222696^2 .

It is not a de Polignac number, because 55000610505 - 21 = 55000610503 is a prime.

It is not an unprimeable number, because it can be changed into a prime (55000610503) 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, 14903470 + ... + 14907159.

It is an arithmetic number, because the mean of its divisors is an integer number (4069150995).

Almost surely, 255000610505 is an apocalyptic number.

It is an amenable number.

55000610505 is a deficient number, since it is larger than the sum of its proper divisors (42659013375).

55000610505 is a wasteful number, since it uses less digits than its factorization.

55000610505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29810681 (or 29810678 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 27.

The spelling of 55000610505 in words is "fifty-five billion, six hundred ten thousand, five hundred five".

Divisors: 1 3 5 9 15 41 45 123 205 369 615 1845 29810629 89431887 149053145 268295661 447159435 1222235789 1341478305 3666707367 6111178945 11000122101 18333536835 55000610505