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42426666216 = 233311173121093
BaseRepresentation
bin100111100000110100…
…111000110011101000
311001111210020221202000
4213200310320303220
51143342211304331
631253542411000
73031241466264
oct474064706350
9131453227660
1042426666216
1116aa1824310
128280730a60
134001a4692c
1420a69ad0a4
151184a790e6
hex9e0d38ce8

42426666216 has 384 divisors, whose sum is σ = 140789923200. Its totient is φ = 11699251200.

The previous prime is 42426666179. The next prime is 42426666221. The reversal of 42426666216 is 61266662424.

It is a nude number because it is divisible by every one of its digits.

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 95 ways as a sum of consecutive naturals, for example, 38816166 + ... + 38817258.

It is an arithmetic number, because the mean of its divisors is an integer number (366640425).

Almost surely, 242426666216 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 42426666216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70394961600).

42426666216 is an abundant number, since it is smaller than the sum of its proper divisors (98363256984).

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

42426666216 is a wasteful number, since it uses less digits than its factorization.

42426666216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1198 (or 1157 counting only the distinct ones).

The product of its digits is 995328, while the sum is 45.

The spelling of 42426666216 in words is "forty-two billion, four hundred twenty-six million, six hundred sixty-six thousand, two hundred sixteen".