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424245372703920 = 2432537103331541191
BaseRepresentation
bin110000001110110010101001…
…0101111001101010010110000
32001122010110110110110011221200
41200131211102233031102300
5421101314010403011140
64102143344511451200
7155234500553360115
oct14035452257152260
92048113413404850
10424245372703920
111131a54a7923509
123b6b9718b26b00
1315295222b32781
1476a982ac5290c
15340a8e0903030
hex181d952bcd4b0

424245372703920 has 240 divisors, whose sum is σ = 1463406893113152. Its totient is φ = 110063750952960.

The previous prime is 424245372703913. The next prime is 424245372703961. The reversal of 424245372703920 is 29307273542424.

424245372703920 is a `hidden beast` number, since 4 + 2 + 4 + 2 + 4 + 537 + 2 + 70 + 39 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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, 274500525 + ... + 276041715.

Almost surely, 2424245372703920 is an apocalyptic number.

424245372703920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424245372703920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731703446556576).

424245372703920 is an abundant number, since it is smaller than the sum of its proper divisors (1039161520409232).

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

424245372703920 is a wasteful number, since it uses less digits than its factorization.

424245372703920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1551580 (or 1551571 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 54.

The spelling of 424245372703920 in words is "four hundred twenty-four trillion, two hundred forty-five billion, three hundred seventy-two million, seven hundred three thousand, nine hundred twenty".