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505404522040 = 235111935951537
BaseRepresentation
bin1110101101011000111…
…01001111111000111000
31210022112111202212201111
413112230131033320320
531240032024201130
61024102444530104
751341252361355
oct7265435177070
91708474685644
10505404522040
11185382749940
1281b4ab50934
1338875a42302
141a666d0562c
15d23034302a
hex75ac74fe38

505404522040 has 64 divisors (see below), whose sum is σ = 1246966241760. Its totient is φ = 182831185920.

The previous prime is 505404522023. The next prime is 505404522061. The reversal of 505404522040 is 40225404505.

It is a junction number, because it is equal to n+sod(n) for n = 505404521993 and 505404522011.

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 15 ways as a sum of consecutive naturals, for example, 2890849 + ... + 3060688.

Almost surely, 2505404522040 is an apocalyptic number.

It is an amenable number.

505404522040 is an abundant number, since it is smaller than the sum of its proper divisors (741561719720).

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

505404522040 is a wasteful number, since it uses less digits than its factorization.

505404522040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5951752 (or 5951748 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 31.

Adding to 505404522040 its reverse (40225404505), we get a palindrome (545629926545).

The spelling of 505404522040 in words is "five hundred five billion, four hundred four million, five hundred twenty-two thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 193 220 386 440 772 965 1544 1930 2123 3860 4246 7720 8492 10615 16984 21230 42460 84920 5951537 11903074 23806148 29757685 47612296 59515370 65466907 119030740 130933814 238061480 261867628 327334535 523735256 654669070 1148646641 1309338140 2297293282 2618676280 4594586564 5743233205 9189173128 11486466410 12635113051 22972932820 25270226102 45945865640 50540452204 63175565255 101080904408 126351130510 252702261020 505404522040