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56117100555 = 32517677913859
BaseRepresentation
bin110100010000110101…
…110000000000001011
312100211220020002001200
4310100311300000023
51404411434204210
641440240115243
74024430325105
oct642065600013
9170756202050
1056117100555
112188770525a
12aa61605b23
1353a4188a59
142a04d02575
1516d690e0c0
hexd10d7000b

56117100555 has 96 divisors (see below), whose sum is σ = 105859353600. Its totient is φ = 27394937856.

The previous prime is 56117100527. The next prime is 56117100569. The reversal of 56117100555 is 55500171165.

It is a happy number.

It is not a de Polignac number, because 56117100555 - 27 = 56117100427 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4042216 + ... + 4056074.

It is an arithmetic number, because the mean of its divisors is an integer number (1102701600).

Almost surely, 256117100555 is an apocalyptic number.

56117100555 is a deficient number, since it is larger than the sum of its proper divisors (49742253045).

56117100555 is a wasteful number, since it uses less digits than its factorization.

56117100555 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14033 (or 14030 counting only the distinct ones).

The product of its (nonzero) digits is 26250, while the sum is 36.

The spelling of 56117100555 in words is "fifty-six billion, one hundred seventeen million, one hundred thousand, five hundred fifty-five".

Divisors: 1 3 5 9 15 17 45 51 67 79 85 153 201 237 255 335 395 603 711 765 1005 1139 1185 1343 3015 3417 3555 4029 5293 5695 6715 10251 12087 13859 15879 17085 20145 26465 41577 47637 51255 60435 69295 79395 89981 124731 207885 235603 238185 269943 449905 623655 706809 809829 928553 1094861 1178015 1349715 2120427 2785659 3284583 3534045 4049145 4642765 5474305 8356977 9853749 10602135 13928295 15785401 16422915 18612637 41784885 47356203 49268745 55837911 73355687 78927005 93063185 142068609 167513733 220067061 236781015 279189555 366778435 660201183 710343045 837568665 1100335305 1247046679 3301005915 3741140037 6235233395 11223420111 18705700185 56117100555