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54056255265045 = 33511208717442031
BaseRepresentation
bin11000100101001111100111…
…11001001001100100010101
321002101201122101001112012000
430102213303321021210111
524041124202321440140
6310545033440545513
714246302253326305
oct1422476371114425
9232351571045160
1054056255265045
1116251146942a40
12609056a622299
1324216381c1197
14d4c49dd33605
1563b1d971ba30
hex3129f3e49915

54056255265045 has 64 divisors (see below), whose sum is σ = 104886612910080. Its totient is φ = 26196533697600.

The previous prime is 54056255265031. The next prime is 54056255265079.

It is a happy number.

54056255265045 is a `hidden beast` number, since 5 + 4 + 0 + 5 + 6 + 25 + 526 + 50 + 45 = 666.

54056255265045 is nontrivially palindromic in base 10.

54056255265045 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 54056255265045 - 24 = 54056255265029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 54056255264982 and 54056255265000.

It is a congruent number.

It is an unprimeable number.

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, 5621821 + ... + 11820210.

It is an arithmetic number, because the mean of its divisors is an integer number (1638853326720).

Almost surely, 254056255265045 is an apocalyptic number.

54056255265045 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54056255265045 is a deficient number, since it is larger than the sum of its proper divisors (50830357645035).

54056255265045 is a wasteful number, since it uses less digits than its factorization.

54056255265045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17444143 (or 17444137 counting only the distinct ones).

The product of its (nonzero) digits is 36000000, while the sum is 54.

The spelling of 54056255265045 in words is "fifty-four trillion, fifty-six billion, two hundred fifty-five million, two hundred sixty-five thousand, forty-five".

Divisors: 1 3 5 9 11 15 27 33 45 55 99 135 165 297 495 1485 2087 6261 10435 18783 22957 31305 56349 68871 93915 114785 206613 281745 344355 619839 1033065 3099195 17442031 52326093 87210155 156978279 191862341 261630465 470934837 575587023 784891395 959311705 1726761069 2354674185 2877935115 5180283207 8633805345 25901416035 36401518697 109204556091 182007593485 327613668273 400416705667 546022780455 982841004819 1201250117001 1638068341365 2002083528335 3603750351003 4914205024095 6006250585005 10811251053009 18018751755015 54056255265045