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42466262208 = 26317191634201
BaseRepresentation
bin100111100011001011…
…111011110011000000
311001121112202122020020
4213203023323303000
51143432330342313
631301515213440
73032232162426
oct474313736300
9131545678206
1042466262208
1117012109377
128291a47280
134009ccb606
1420abd59116
15118829b323
hex9e32fbcc0

42466262208 has 224 divisors, whose sum is σ = 126027728640. Its totient is φ = 12541132800.

The previous prime is 42466262177. The next prime is 42466262219. The reversal of 42466262208 is 80226266424.

It is a self number, because there is not a number n which added to its sum of digits gives 42466262208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10106508 + ... + 10110708.

Almost surely, 242466262208 is an apocalyptic number.

42466262208 is a gapful number since it is divisible by the number (48) 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 42466262208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63013864320).

42466262208 is an abundant number, since it is smaller than the sum of its proper divisors (83561466432).

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

42466262208 is a wasteful number, since it uses less digits than its factorization.

42466262208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4415 (or 4405 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 42.

The spelling of 42466262208 in words is "forty-two billion, four hundred sixty-six million, two hundred sixty-two thousand, two hundred eight".