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42326178048 = 28347311541
BaseRepresentation
bin100111011010110101…
…100011100100000000
311001020210011121220000
4213122311203210000
51143141000144143
631235552520000
73025611402000
oct473265434400
9131223147800
1042326178048
1116a5002a040
128252b50000
133cb6c91b8b
1420974d2000
15117ad29bd3
hex9dad63900

42326178048 has 720 divisors, whose sum is σ = 160859529600. Its totient is φ = 10973491200.

The previous prime is 42326178029. The next prime is 42326178061. The reversal of 42326178048 is 84087162324.

It is a happy number.

42326178048 is a `hidden beast` number, since 4 + 23 + 2 + 617 + 8 + 0 + 4 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 42326177994 and 42326178012.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 78236658 + ... + 78237198.

Almost surely, 242326178048 is an apocalyptic number.

42326178048 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 42326178048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80429764800).

42326178048 is an abundant number, since it is smaller than the sum of its proper divisors (118533351552).

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

42326178048 is an equidigital number, since it uses as much as digits as its factorization.

42326178048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 42326178048 in words is "forty-two billion, three hundred twenty-six million, one hundred seventy-eight thousand, forty-eight".