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48831320538 = 232731113194171
BaseRepresentation
bin101101011110100100…
…101101000111011010
311200001010202002210100
4231132210231013122
51300001304224123
634233252400230
73346041243000
oct553644550732
9150033662710
1048831320538
1119789009960
129569616076
1347b28c3610
142513434a70
15140be94643
hexb5e92d1da

48831320538 has 768 divisors, whose sum is σ = 158505984000. Its totient is φ = 10668672000.

The previous prime is 48831320533. The next prime is 48831320581. The reversal of 48831320538 is 83502313884.

48831320538 is a `hidden beast` number, since 4 + 8 + 83 + 1 + 32 + 0 + 538 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 48831320493 and 48831320502.

It is not an unprimeable number, because it can be changed into a prime (48831320533) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 687765043 + ... + 687765113.

It is an arithmetic number, because the mean of its divisors is an integer number (206388000).

Almost surely, 248831320538 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48831320538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79252992000).

48831320538 is an abundant number, since it is smaller than the sum of its proper divisors (109674663462).

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

48831320538 is a wasteful number, since it uses less digits than its factorization.

48831320538 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 48831320538 in words is "forty-eight billion, eight hundred thirty-one million, three hundred twenty thousand, five hundred thirty-eight".