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42178334720 = 212523151593
BaseRepresentation
bin100111010010000001…
…100101000000000000
311000212110222101222012
4213102001211000000
51142340123202340
631213152032052
73022134633614
oct472201450000
9130773871865
1042178334720
1116984630175
128211532628
133c92469812
142081a09344
15116cd74565
hex9d2065000

42178334720 has 208 divisors, whose sum is σ = 106495057152. Its totient is φ = 16003891200.

The previous prime is 42178334659. The next prime is 42178334729. The reversal of 42178334720 is 2743387124.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42178334729) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71126744 + ... + 71127336.

Almost surely, 242178334720 is an apocalyptic number.

42178334720 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 42178334720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53247528576).

42178334720 is an abundant number, since it is smaller than the sum of its proper divisors (64316722432).

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

42178334720 is a wasteful number, since it uses less digits than its factorization.

42178334720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 41.

The spelling of 42178334720 in words is "forty-two billion, one hundred seventy-eight million, three hundred thirty-four thousand, seven hundred twenty".