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56045355354065 = 57112910766617043
BaseRepresentation
bin11001011111001000100110…
…11111110100011111010001
321100102212212011210112020102
430233210103133310133101
524321221341432312230
6315110514131022145
714543100103164260
oct1457442337643721
9240385764715212
1056045355354065
1116948779aa8330
126351b7013a955
1325370924a308c
14dba876d285d7
15672d0582b045
hex32f9137f47d1

56045355354065 has 128 divisors (see below), whose sum is σ = 87577283358720. Its totient is φ = 33407608550400.

The previous prime is 56045355354059. The next prime is 56045355354097.

56045355354065 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 56045355354065 - 24 = 56045355354049 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 56045355354065.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7957593434 + ... + 7957600476.

It is an arithmetic number, because the mean of its divisors is an integer number (684197526240).

Almost surely, 256045355354065 is an apocalyptic number.

56045355354065 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

56045355354065 is a deficient number, since it is larger than the sum of its proper divisors (31531928004655).

56045355354065 is a wasteful number, since it uses less digits than its factorization.

56045355354065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13863.

The product of its (nonzero) digits is 81000000, while the sum is 56.

The spelling of 56045355354065 in words is "fifty-six trillion, forty-five billion, three hundred fifty-five million, three hundred fifty-four thousand, sixty-five".

Divisors: 1 5 7 11 29 35 55 77 107 145 203 319 385 535 749 1015 1177 1595 2233 3103 3745 5885 6661 7043 8239 11165 15515 21721 33305 34133 35215 41195 46627 49301 73271 77473 108605 170665 193169 204247 233135 238931 246505 366355 387365 512897 542311 712727 753601 965845 1021235 1194655 1352183 1429729 2124859 2246717 2564485 2711555 3563635 3768005 4989089 5275207 6760915 7148645 7839997 8289611 10624295 11233585 14874013 15727019 20669083 21854429 24945445 26376035 39199985 41448055 46913423 54879979 58027277 74370065 78635095 103345415 109272145 144683581 152981003 227359913 234567115 240398719 274399895 290136385 328393961 516047653 723417905 764905015 1136799565 1201993595 1360489267 1591519391 1641969805 1682791033 2580238265 3612333571 5019736261 6802446335 7957596955 8413955165 9523424869 14965381937 18061667855 25098681305 35138153827 47617124345 55217098871 74826909685 104757673559 145572351569 175690769135 276085494355 386519692097 523788367795 727861757845 1019006460983 1601295867259 1932598460485 5095032304915 8006479336295 11209071070813 56045355354065