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42471163368 = 233231101293643
BaseRepresentation
bin100111100011011110…
…101000010111101000
311001121212222122100200
4213203132220113220
51143440104211433
631302212232200
73032321634504
oct474336502750
9131555878320
1042471163368
1117014956717
12829360b660
13400b0263ca
1420ac873304
151188918613
hex9e37a85e8

42471163368 has 192 divisors, whose sum is σ = 120508577280. Its totient is φ = 13497408000.

The previous prime is 42471163363. The next prime is 42471163373. The reversal of 42471163368 is 86336117424.

42471163368 is a `hidden beast` number, since 4 + 2 + 4 + 7 + 1 + 1 + 633 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (42471163363) and next prime (42471163373).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (42471163363) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 66051255 + ... + 66051897.

It is an arithmetic number, because the mean of its divisors is an integer number (627648840).

Almost surely, 242471163368 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 42471163368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60254288640).

42471163368 is an abundant number, since it is smaller than the sum of its proper divisors (78037413912).

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

42471163368 is a wasteful number, since it uses less digits than its factorization.

42471163368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1080 (or 1073 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The spelling of 42471163368 in words is "forty-two billion, four hundred seventy-one million, one hundred sixty-three thousand, three hundred sixty-eight".