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505005550056 = 233272813565819
BaseRepresentation
bin1110101100101001010…
…11010010100111101000
31210021111201001000001100
413112110223102213220
531233222410100211
61023555113321400
751325336230630
oct7262453224750
91707451030040
10505005550056
11185198516327
1281a59406260
13388111a0907
141a629d2b6c0
15d20a2d4156
hex7594ad29e8

505005550056 has 96 divisors (see below), whose sum is σ = 1568675534400. Its totient is φ = 143773781760.

The previous prime is 505005550037. The next prime is 505005550057. The reversal of 505005550056 is 650055500505.

505005550056 is a `hidden beast` number, since 5 + 0 + 50 + 0 + 5 + 550 + 0 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 505005550056.

It is not an unprimeable number, because it can be changed into a prime (505005550057) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1641286 + ... + 1924533.

It is an arithmetic number, because the mean of its divisors is an integer number (16340370150).

Almost surely, 2505005550056 is an apocalyptic number.

505005550056 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

505005550056 is an abundant number, since it is smaller than the sum of its proper divisors (1063669984344).

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

505005550056 is a wasteful number, since it uses less digits than its factorization.

505005550056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3566119 (or 3566112 counting only the distinct ones).

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

The spelling of 505005550056 in words is "five hundred five billion, five million, five hundred fifty thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 281 504 562 843 1124 1686 1967 2248 2529 3372 3934 5058 5901 6744 7868 10116 11802 15736 17703 20232 23604 35406 47208 70812 141624 3565819 7131638 10697457 14263276 21394914 24960733 28526552 32092371 42789828 49921466 64184742 74882199 85579656 99842932 128369484 149764398 199685864 224646597 256738968 299528796 449293194 599057592 898586388 1001995139 1797172776 2003990278 3005985417 4007980556 6011970834 7013965973 8015961112 9017956251 12023941668 14027931946 18035912502 21041897919 24047883336 28055863892 36071825004 42083795838 56111727784 63125693757 72143650008 84167591676 126251387514 168335183352 252502775028 505005550056