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505555005006 = 23258766917151
BaseRepresentation
bin1110101101101010110…
…11010010111001001110
31210022220222221012112200
413112311123102321032
531240334040130011
61024125422142330
751345060432252
oct7266533227116
91708828835480
10505555005006
1118544a690a27
1281b914219a6
133889ac7cc9c
141a67ccb8262
15d23d66a856
hex75b56d2e4e

505555005006 has 48 divisors (see below), whose sum is σ = 1097552671488. Its totient is φ = 168182586000.

The previous prime is 505555004837. The next prime is 505555005047. The reversal of 505555005006 is 600500555505.

505555005006 is a `hidden beast` number, since 5 + 0 + 55 + 550 + 0 + 50 + 0 + 6 = 666.

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 23 ways as a sum of consecutive naturals, for example, 70693531 + ... + 70700681.

It is an arithmetic number, because the mean of its divisors is an integer number (22865680656).

Almost surely, 2505555005006 is an apocalyptic number.

505555005006 is an abundant number, since it is smaller than the sum of its proper divisors (591997666482).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

505555005006 is a wasteful number, since it uses less digits than its factorization.

505555005006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14437 (or 14434 counting only the distinct ones).

The product of its (nonzero) digits is 93750, while the sum is 36.

The spelling of 505555005006 in words is "five hundred five billion, five hundred fifty-five million, five thousand, six".

Divisors: 1 2 3 6 9 18 587 1174 1761 3522 5283 6691 7151 10566 13382 14302 20073 21453 40146 42906 60219 64359 120438 128718 3927617 4197637 7855234 8395274 11782851 12592911 23565702 25185822 35348553 37778733 47847341 70697106 75557466 95694682 143542023 287084046 430626069 861252138 28086389167 56172778334 84259167501 168518335002 252777502503 505555005006