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42273428256 = 2534313759241
BaseRepresentation
bin100111010111101100…
…010101001100100000
311001010002220122210000
4213113230111030200
51143033444201011
631230430140000
73024401132343
oct472754251440
9131102818700
1042273428256
1116a23280374
128239351600
133ca9082c97
1420904c045a
1511763aa356
hex9d7b15320

42273428256 has 480 divisors, whose sum is σ = 134594127360. Its totient is φ = 12989030400.

The previous prime is 42273428227. The next prime is 42273428261. The reversal of 42273428256 is 65282437224.

42273428256 is a `hidden beast` number, since 4 + 227 + 342 + 82 + 5 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 175408296 + ... + 175408536.

It is an arithmetic number, because the mean of its divisors is an integer number (280404432).

Almost surely, 242273428256 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 42273428256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67297063680).

42273428256 is an abundant number, since it is smaller than the sum of its proper divisors (92320699104).

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

42273428256 is a wasteful number, since it uses less digits than its factorization.

42273428256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 373 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 45.

The spelling of 42273428256 in words is "forty-two billion, two hundred seventy-three million, four hundred twenty-eight thousand, two hundred fifty-six".