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48947410512 = 24337111328707
BaseRepresentation
bin101101100101011111…
…100011011001010000
311200100020012002022000
4231211133203121100
51300221014114022
634253000514000
73351651060510
oct554537433120
9150306162260
1048947410512
111983859aa90
1295a047b900
13480097b900
142524a13840
1514172766ac
hexb657e3650

48947410512 has 480 divisors, whose sum is σ = 189697858560. Its totient is φ = 11734295040.

The previous prime is 48947410511. The next prime is 48947410517. The reversal of 48947410512 is 21501474984.

48947410512 is a `hidden beast` number, since 4 + 8 + 94 + 7 + 41 + 0 + 512 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48947410511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5617263 + ... + 5625969.

It is an arithmetic number, because the mean of its divisors is an integer number (395203872).

Almost surely, 248947410512 is an apocalyptic number.

48947410512 is a gapful number since it is divisible by the number (42) 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 48947410512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94848929280).

48947410512 is an abundant number, since it is smaller than the sum of its proper divisors (140750448048).

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

48947410512 is a wasteful number, since it uses less digits than its factorization.

48947410512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8768 (or 8743 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 48947410512 in words is "forty-eight billion, nine hundred forty-seven million, four hundred ten thousand, five hundred twelve".