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1146641426192 = 243743315972801
BaseRepresentation
bin10000101011111001001…
…001111010011100010000
311001121200102010201020002
4100223321021322130100
5122241310201114232
62234432041105132
7145561562210633
oct20537111723420
94047612121202
101146641426192
11402319212909
12166287a881a8
1384187a97c02
143d6d7b31c1a
151ec60572b62
hex10af927a710

1146641426192 has 80 divisors (see below), whose sum is σ = 2289179910192. Its totient is φ = 555990220800.

The previous prime is 1146641426159. The next prime is 1146641426209. The reversal of 1146641426192 is 2916241466411.

It can be written as a sum of positive squares in 8 ways, for example, as 25550104336 + 1121091321856 = 159844^2 + 1058816^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 409367192 + ... + 409369992.

Almost surely, 21146641426192 is an apocalyptic number.

It is an amenable number.

1146641426192 is a deficient number, since it is larger than the sum of its proper divisors (1142538484000).

1146641426192 is a wasteful number, since it uses less digits than its factorization.

1146641426192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4876 (or 4870 counting only the distinct ones).

The product of its digits is 497664, while the sum is 47.

The spelling of 1146641426192 in words is "one trillion, one hundred forty-six billion, six hundred forty-one million, four hundred twenty-six thousand, one hundred ninety-two".

Divisors: 1 2 4 8 16 37 74 148 296 433 592 866 1597 1732 2801 3194 3464 5602 6388 6928 11204 12776 16021 22408 25552 32042 44816 59089 64084 103637 118178 128168 207274 236356 256336 414548 472712 691501 829096 945424 1212833 1383002 1658192 2425666 2766004 4473197 4851332 5532008 8946394 9702664 11064016 17892788 19405328 25585537 35785576 44874821 51171074 71571152 89749642 102342148 165508289 179499284 204684296 331016578 358998568 409368592 662033156 717997136 1324066312 1936894301 2648132624 3873788602 7747577204 15495154408 30990308816 71665089137 143330178274 286660356548 573320713096 1146641426192