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105463336050 = 232521713786057
BaseRepresentation
bin110001000111000011…
…0101100110001110010
3101002012220212120101100
41202032012230301302
53211442103223200
6120241005145230
710422323364642
oct1421606546162
9332186776340
10105463336050
11407aa338366
121853355b216
139c39657177
145166892522
152b23bb5d00
hex188e1acc72

105463336050 has 72 divisors (see below), whose sum is σ = 300012194196. Its totient is φ = 26469227520.

The previous prime is 105463336031. The next prime is 105463336079. The reversal of 105463336050 is 50633364501.

105463336050 is a `hidden beast` number, since 1 + 0 + 5 + 46 + 3 + 3 + 3 + 605 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 31436353809 + 74026982241 = 177303^2 + 272079^2 .

It is a super-2 number, since 2×1054633360502 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105463335996 and 105463336014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6885379 + ... + 6900678.

Almost surely, 2105463336050 is an apocalyptic number.

105463336050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105463336050 is an abundant number, since it is smaller than the sum of its proper divisors (194548858146).

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

105463336050 is a wasteful number, since it uses less digits than its factorization.

105463336050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13786092 (or 13786084 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

The spelling of 105463336050 in words is "one hundred five billion, four hundred sixty-three million, three hundred thirty-six thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 17 18 25 30 34 45 50 51 75 85 90 102 150 153 170 225 255 306 425 450 510 765 850 1275 1530 2550 3825 7650 13786057 27572114 41358171 68930285 82716342 124074513 137860570 206790855 234362969 248149026 344651425 413581710 468725938 620372565 689302850 703088907 1033954275 1171814845 1240745130 1406177814 2067908550 2109266721 2343629690 3101862825 3515444535 4218533442 5859074225 6203725650 7030889070 10546333605 11718148450 17577222675 21092667210 35154445350 52731668025 105463336050