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42726060000 = 2532541319312
BaseRepresentation
bin100111110010101010…
…111110111111100000
311002021122121201210200
4213302222332333200
51200000332410000
631343355425200
73041535342411
oct476252767740
9132248551720
1042726060000
1117135824298
128344a55200
13404ba91810
1420d4665808
1511a0eb8500
hex9f2abefe0

42726060000 has 1080 divisors, whose sum is σ = 177845227560. Its totient is φ = 9642240000.

The previous prime is 42726059953. The next prime is 42726060001. The reversal of 42726060000 is 6062724.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42726060001) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 1378259985 + ... + 1378260015.

It is an arithmetic number, because the mean of its divisors is an integer number (164671507).

Almost surely, 242726060000 is an apocalyptic number.

42726060000 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 42726060000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88922613780).

42726060000 is an abundant number, since it is smaller than the sum of its proper divisors (135119167560).

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

42726060000 is a wasteful number, since it uses less digits than its factorization.

42726060000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The spelling of 42726060000 in words is "forty-two billion, seven hundred twenty-six million, sixty thousand".