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41827453920 = 25365751229
BaseRepresentation
bin100110111101000111…
…000100101111100000
310222222000201211000000
4212331013010233200
51141130312011140
631114255300000
73010344330540
oct467507045740
9128860654000
1041827453920
111681456423a
128133b1a600
133c37865745
14204b18d320
15114c164a30
hex9bd1c4be0

41827453920 has 336 divisors, whose sum is σ = 169327035360. Its totient is φ = 9560374272.

The previous prime is 41827453909. The next prime is 41827453957. The reversal of 41827453920 is 2935472814.

41827453920 is a `hidden beast` number, since 41 + 8 + 2 + 74 + 539 + 2 + 0 = 666.

41827453920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 790866 + ... + 842094.

It is an arithmetic number, because the mean of its divisors is an integer number (503949510).

Almost surely, 241827453920 is an apocalyptic number.

41827453920 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 41827453920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84663517680).

41827453920 is an abundant number, since it is smaller than the sum of its proper divisors (127499581440).

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

41827453920 is an equidigital number, since it uses as much as digits as its factorization.

41827453920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51269 (or 51246 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 41827453920 in words is "forty-one billion, eight hundred twenty-seven million, four hundred fifty-three thousand, nine hundred twenty".