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241424760677616 = 243217297789436607
BaseRepresentation
bin110110111001001100010101…
…000110011010010011110000
31011122210222111200010121120200
4312321030111012122103300
5223121000402213140431
62213245000503435200
7101565235426332015
oct6671142506322360
91148728450117520
10241424760677616
116aa1a73652123a
12230b189ba55b00
13a493346222429
144389040d9570c
151cda02aab7ee6
hexdb931519a4f0

241424760677616 has 240 divisors, whose sum is σ = 740163990758400. Its totient is φ = 73119783002112.

The previous prime is 241424760677591. The next prime is 241424760677641. The reversal of 241424760677616 is 616776067424142.

241424760677616 is a `hidden beast` number, since 2 + 4 + 1 + 4 + 2 + 4 + 7 + 6 + 0 + 6 + 7 + 7 + 616 = 666.

It is an interprime number because it is at equal distance from previous prime (241424760677591) and next prime (241424760677641).

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 47 ways as a sum of consecutive naturals, for example, 552738385 + ... + 553174991.

It is an arithmetic number, because the mean of its divisors is an integer number (3084016628160).

Almost surely, 2241424760677616 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 241424760677616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370081995379200).

241424760677616 is an abundant number, since it is smaller than the sum of its proper divisors (498739230080784).

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

241424760677616 is a wasteful number, since it uses less digits than its factorization.

241424760677616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444456 (or 444447 counting only the distinct ones).

The product of its (nonzero) digits is 113799168, while the sum is 63.

The spelling of 241424760677616 in words is "two hundred forty-one trillion, four hundred twenty-four billion, seven hundred sixty million, six hundred seventy-seven thousand, six hundred sixteen".