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55716122161755 = 33511311120640753
BaseRepresentation
bin11001010101100011010111…
…01010110111001001011011
321022021102001100110110112000
430222301223222313021123
524300323104233134010
6314255344433052043
714510233306213656
oct1452615352671133
9238242040413460
1055716122161755
1116831090497a70
1262ba1a86b7023
132512014110253
14da896354689d
15669486a107c0
hex32ac6bab725b

55716122161755 has 64 divisors (see below), whose sum is σ = 108402955914240. Its totient is φ = 26927015846400.

The previous prime is 55716122161741. The next prime is 55716122161783.

55716122161755 is a `hidden beast` number, since 5 + 5 + 7 + 1 + 6 + 12 + 2 + 1 + 617 + 5 + 5 = 666.

55716122161755 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 55716122161755 - 28 = 55716122161499 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 59858542 + ... + 60782211.

It is an arithmetic number, because the mean of its divisors is an integer number (1693796186160).

Almost surely, 255716122161755 is an apocalyptic number.

55716122161755 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

55716122161755 is a deficient number, since it is larger than the sum of its proper divisors (52686833752485).

55716122161755 is a wasteful number, since it uses less digits than its factorization.

55716122161755 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120641089 (or 120641083 counting only the distinct ones).

The product of its digits is 4410000, while the sum is 54.

The spelling of 55716122161755 in words is "fifty-five trillion, seven hundred sixteen billion, one hundred twenty-two million, one hundred sixty-one thousand, seven hundred fifty-five".

Divisors: 1 3 5 9 11 15 27 33 45 55 99 135 165 297 311 495 933 1485 1555 2799 3421 4665 8397 10263 13995 17105 30789 41985 51315 92367 153945 461835 120640753 361922259 603203765 1085766777 1327048283 1809611295 3257300331 3981144849 5428833885 6635241415 11943434547 16286501655 19905724245 35830303641 37519274183 59717172735 112557822549 179151518205 187596370915 337673467647 412712016013 562789112745 1013020402941 1238136048039 1688367338235 2063560080065 3714408144117 5065102014705 6190680240195 11143224432351 18572040720585 55716122161755