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54456755765445 = 32511247344485907
BaseRepresentation
bin11000110000111001100111…
…00101010100000011000101
321010211000101221101221122200
430120130303211110003011
524114204413433443240
6311453031020345113
714320241113400205
oct1430346345240305
9233730357357580
1054456755765445
1116395a86a43730
1261361013a5199
13245033342b2b7
14d63a1477c405
1564682a02b930
hex3187339540c5

54456755765445 has 48 divisors (see below), whose sum is σ = 103014415662912. Its totient is φ = 26392598311680.

The previous prime is 54456755765431. The next prime is 54456755765507.

54456755765445 is a `hidden beast` number, since 5 + 4 + 4 + 5 + 6 + 7 + 5 + 5 + 76 + 544 + 5 = 666.

54456755765445 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54456755765445 - 28 = 54456755765189 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21018819 + ... + 23467088.

It is an arithmetic number, because the mean of its divisors is an integer number (2146133659644).

Almost surely, 254456755765445 is an apocalyptic number.

54456755765445 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54456755765445 is a deficient number, since it is larger than the sum of its proper divisors (48557659897467).

54456755765445 is a wasteful number, since it uses less digits than its factorization.

54456755765445 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44488402 (or 44488399 counting only the distinct ones).

The product of its digits is 7056000000, while the sum is 72.

The spelling of 54456755765445 in words is "fifty-four trillion, four hundred fifty-six billion, seven hundred fifty-five million, seven hundred sixty-five thousand, four hundred forty-five".

Divisors: 1 3 5 9 11 15 33 45 55 99 165 495 2473 7419 12365 22257 27203 37095 81609 111285 136015 244827 408045 1224135 44485907 133457721 222429535 400373163 489344977 667288605 1468034931 2001865815 2446724885 4404104793 7340174655 22020523965 110013648011 330040944033 550068240055 990122832099 1210150128121 1650204720165 3630450384363 4950614160495 6050750640605 10891351153089 18152251921815 54456755765445