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673423260048 = 243571121723523
BaseRepresentation
bin10011100110010110010…
…01110111100110010000
32101101020000200010100000
421303023021313212100
542013132323310143
61233211045330000
766440025156450
oct11631311674620
92341200603300
10673423260048
1123a662968600
12aa620106900
134b671382c06
142484579dd60
15127b5c7cbd3
hex9ccb277990

673423260048 has 1440 divisors, whose sum is σ = 2717814048768. Its totient is φ = 157167267840.

The previous prime is 673423260023. The next prime is 673423260049. The reversal of 673423260048 is 840062324376.

673423260048 is a `hidden beast` number, since 6 + 7 + 3 + 4 + 2 + 32 + 600 + 4 + 8 = 666.

673423260048 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 673423259985 and 673423260012.

It is not an unprimeable number, because it can be changed into a prime (673423260049) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1287615915 + ... + 1287616437.

Almost surely, 2673423260048 is an apocalyptic number.

673423260048 is a gapful number since it is divisible by the number (68) 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 673423260048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1358907024384).

673423260048 is an abundant number, since it is smaller than the sum of its proper divisors (2044390788720).

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

673423260048 is a wasteful number, since it uses less digits than its factorization.

673423260048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 673423260048 in words is "six hundred seventy-three billion, four hundred twenty-three million, two hundred sixty thousand, forty-eight".