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54078396192 = 25327121932
BaseRepresentation
bin110010010111010100…
…101101011100100000
312011120211001011102200
4302113110231130200
51341223032134232
640502051413200
73623053532442
oct622724553440
9164524034380
1054078396192
1120a30932517
12a5928b4200
13513a9ac802
142890250492
15161795377c
hexc9752d720

54078396192 has 162 divisors, whose sum is σ = 156794322321. Its totient is φ = 17680158720.

The previous prime is 54078396179. The next prime is 54078396209. The reversal of 54078396192 is 29169387045.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

54078396192 is a `hidden beast` number, since 540 + 7 + 8 + 3 + 9 + 6 + 1 + 92 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 50210053776 + 3868342416 = 224076^2 + 62196^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=164436.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 280198848 + ... + 280199040.

It is a 2-persistent number, because it is pandigital, and so is 2⋅54078396192 = 108156792384, but 3⋅54078396192 = 162235188576 is not.

Almost surely, 254078396192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54078396192

54078396192 is an abundant number, since it is smaller than the sum of its proper divisors (102715926129).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

54078396192 is an equidigital number, since it uses as much as digits as its factorization.

54078396192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 54078396192 in words is "fifty-four billion, seventy-eight million, three hundred ninety-six thousand, one hundred ninety-two".