Search a number
-
+
10241939373696 = 273219745129809
BaseRepresentation
bin1001010100001010001100…
…1010000111111010000000
31100021010020100211212101200
42111002203022013322000
52320300442434424241
633441025413301200
72104645543160652
oct225024312077200
940233210755350
1010241939373696
113299644851438
121194b58934800
13593a70268244
142759d91b46d2
1512b63a2884b6
hex950a3287e80

10241939373696 has 96 divisors (see below), whose sum is σ = 29621853389700. Its totient is φ = 3396649869312.

The previous prime is 10241939373689. The next prime is 10241939373709. The reversal of 10241939373696 is 69637393914201.

10241939373696 is a `hidden beast` number, since 1 + 0 + 2 + 419 + 3 + 93 + 73 + 69 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8233823647296 + 2008115726400 = 2869464^2 + 1417080^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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 11 ways as a sum of consecutive naturals, for example, 22337961 + ... + 22791848.

Almost surely, 210241939373696 is an apocalyptic number.

10241939373696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10241939373696 is an abundant number, since it is smaller than the sum of its proper divisors (19379914016004).

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

10241939373696 is a wasteful number, since it uses less digits than its factorization.

10241939373696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45130026 (or 45130011 counting only the distinct ones).

The product of its (nonzero) digits is 39680928, while the sum is 63.

The spelling of 10241939373696 in words is "ten trillion, two hundred forty-one billion, nine hundred thirty-nine million, three hundred seventy-three thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 197 288 384 394 576 591 788 1152 1182 1576 1773 2364 3152 3546 4728 6304 7092 9456 12608 14184 18912 25216 28368 37824 56736 75648 113472 226944 45129809 90259618 135389427 180519236 270778854 361038472 406168281 541557708 722076944 812336562 1083115416 1444153888 1624673124 2166230832 2888307776 3249346248 4332461664 5776615552 6498692496 8664923328 8890572373 12997384992 17329846656 17781144746 25994769984 26671717119 35562289492 51989539968 53343434238 71124578984 80015151357 106686868476 142249157968 160030302714 213373736952 284498315936 320060605428 426747473904 568996631872 640121210856 853494947808 1137993263744 1280242421712 1706989895616 2560484843424 3413979791232 5120969686848 10241939373696