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427485742944 = 253137912734141
BaseRepresentation
bin1100011100010000010…
…00101100011101100000
31111212102012211210002020
412032020020230131200
524000442322233234
6524214555021440
742612331601241
oct6161010543540
91455365753066
10427485742944
11155328614937
126aa2413a880
1331408b51870
1416994728cc8
15b1be92c549
hex638822c760

427485742944 has 192 divisors, whose sum is σ = 1233438474240. Its totient is φ = 128842721280.

The previous prime is 427485742877. The next prime is 427485742949. The reversal of 427485742944 is 449247584724.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427485742949) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12504114 + ... + 12538254.

It is an arithmetic number, because the mean of its divisors is an integer number (6424158720).

Almost surely, 2427485742944 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 427485742944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616719237120).

427485742944 is an abundant number, since it is smaller than the sum of its proper divisors (805952731296).

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

427485742944 is a wasteful number, since it uses less digits than its factorization.

427485742944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34373 (or 34365 counting only the distinct ones).

The product of its digits is 72253440, while the sum is 60.

The spelling of 427485742944 in words is "four hundred twenty-seven billion, four hundred eighty-five million, seven hundred forty-two thousand, nine hundred forty-four".