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56000217775117 = 71123313672779351
BaseRepresentation
bin11001011101110100100010…
…00101100111110000001101
321100021120100110110221100011
430232322101011213300031
524320001421222300432
6315034051144033221
714536611413121220
oct1456722105476015
9240246313427304
1056000217775117
1116930617014180
126345273762811
132532a4ac21895
14db85d42c55b7
15671a62cb3847
hex32ee91167c0d

56000217775117 has 64 divisors (see below), whose sum is σ = 75409111646208. Its totient is φ = 40282787160000.

The previous prime is 56000217775111. The next prime is 56000217775147. The reversal of 56000217775117 is 71157771200065.

56000217775117 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 56000217775117 - 219 = 56000217250829 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56000217775111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18758992 + ... + 21538342.

It is an arithmetic number, because the mean of its divisors is an integer number (1178267369472).

Almost surely, 256000217775117 is an apocalyptic number.

It is an amenable number.

56000217775117 is a deficient number, since it is larger than the sum of its proper divisors (19408893871091).

56000217775117 is a wasteful number, since it uses less digits than its factorization.

56000217775117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2779790.

The product of its (nonzero) digits is 720300, while the sum is 49.

The spelling of 56000217775117 in words is "fifty-six trillion, two hundred seventeen million, seven hundred seventy-five thousand, one hundred seventeen".

Divisors: 1 7 11 23 31 77 161 217 253 341 367 713 1771 2387 2569 4037 4991 7843 8441 11377 28259 54901 59087 79639 92851 125147 261671 649957 876029 1831697 2779351 2878381 19455457 20148667 30572861 63925073 86159881 214010027 447475511 603119167 703175803 947758691 1020021817 1981677263 4922230621 6634310837 7140152719 11220239987 13871740841 21798449893 23460501791 31620676327 78541679909 152589149251 164223512537 221344734289 258065519701 347827439597 727275555521 1806458637907 2434792077179 5090928888647 8000031110731 56000217775117