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54240543450 = 232523167131443
BaseRepresentation
bin110010100000111111…
…010000001011011010
312012000010011002122200
4302200333100023122
51342041034342300
640530123031030
73630063004122
oct624077201332
9165003132580
1054240543450
1121004411115
12a61906b476
135165472732
1428a79bbc82
151626cd2200
hexca0fd02da

54240543450 has 288 divisors, whose sum is σ = 154184988672. Its totient is φ = 13652496000.

The previous prime is 54240543437. The next prime is 54240543463. The reversal of 54240543450 is 5434504245.

54240543450 is a `hidden beast` number, since 54 + 24 + 0 + 543 + 45 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (54240543437) and next prime (54240543463).

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 143 ways as a sum of consecutive naturals, for example, 122438929 + ... + 122439371.

It is an arithmetic number, because the mean of its divisors is an integer number (535364544).

Almost surely, 254240543450 is an apocalyptic number.

54240543450 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 54240543450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77092494336).

54240543450 is an abundant number, since it is smaller than the sum of its proper divisors (99944445222).

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

54240543450 is a wasteful number, since it uses less digits than its factorization.

54240543450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 36.

The spelling of 54240543450 in words is "fifty-four billion, two hundred forty million, five hundred forty-three thousand, four hundred fifty".