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423395066880 = 21032519734657
BaseRepresentation
bin1100010100101000101…
…00000000010000000000
31111110212010111220110100
412022110110000100000
523414103114120010
6522301025402400
742406060455042
oct6122424002000
91443763456410
10423395066880
11153619528415
126a082199400
1330c06502596
14166c732da92
15b0307452c0
hex6294500400

423395066880 has 264 divisors, whose sum is σ = 1468111626072. Its totient is φ = 112823894016.

The previous prime is 423395066837. The next prime is 423395066903. The reversal of 423395066880 is 88660593324.

423395066880 is a `hidden beast` number, since 4 + 23 + 39 + 506 + 6 + 8 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 874266624 + 422520800256 = 29568^2 + 650016^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90913512 + ... + 90918168.

Almost surely, 2423395066880 is an apocalyptic number.

423395066880 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 423395066880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734055813036).

423395066880 is an abundant number, since it is smaller than the sum of its proper divisors (1044716559192).

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

423395066880 is a wasteful number, since it uses less digits than its factorization.

423395066880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6661 (or 6640 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 423395066880 in words is "four hundred twenty-three billion, three hundred ninety-five million, sixty-six thousand, eight hundred eighty".