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506160516006 = 233661130310883
BaseRepresentation
bin1110101110110011000…
…01001000101110100110
31210101111012022100111000
413113121201020232212
531243104043003011
61024305452254130
751366062253405
oct7273141105646
91711435270430
10506160516006
11185730463342
1282120171346
1338966558112
141a6d949763c
15d2768c6356
hex75d9848ba6

506160516006 has 64 divisors (see below), whose sum is σ = 1127470947840. Its totient is φ = 168320164320.

The previous prime is 506160515977. The next prime is 506160516049. The reversal of 506160516006 is 600615061605.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46503841 + ... + 46514723.

It is an arithmetic number, because the mean of its divisors is an integer number (17616733560).

Almost surely, 2506160516006 is an apocalyptic number.

506160516006 is an abundant number, since it is smaller than the sum of its proper divisors (621310431834).

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

506160516006 is a wasteful number, since it uses less digits than its factorization.

506160516006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12858 (or 12852 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 506160516006 in words is "five hundred six billion, one hundred sixty million, five hundred sixteen thousand, six".

Divisors: 1 2 3 6 9 18 27 54 661 1303 1322 1983 2606 3909 3966 5949 7818 10883 11727 11898 17847 21766 23454 32649 35181 35694 65298 70362 97947 195894 293841 587682 861283 1722566 2583849 5167698 7193663 7751547 14180549 14387326 15503094 21580989 23254641 28361098 42541647 43161978 46509282 64742967 85083294 127624941 129485934 194228901 255249882 382874823 388457802 765749646 9373342889 18746685778 28120028667 56240057334 84360086001 168720172002 253080258003 506160516006