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48484858968 = 233271347791993
BaseRepresentation
bin101101001001111011…
…000011110001011000
311122010222211000212100
4231021323003301120
51243244110441333
634135034443400
73334333333650
oct551173036130
9148128730770
1048484858968
1119620491187
129491593560
134758ba8b80
1424bd409360
1513db859213
hexb49ec3c58

48484858968 has 384 divisors, whose sum is σ = 167228006400. Its totient is φ = 12350527488.

The previous prime is 48484858967. The next prime is 48484859021. The reversal of 48484858968 is 86985848484.

48484858968 is a `hidden beast` number, since 4 + 8 + 4 + 8 + 485 + 89 + 68 = 666.

48484858968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 48484858896 and 48484858905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48484858967) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24326580 + ... + 24328572.

It is an arithmetic number, because the mean of its divisors is an integer number (435489600).

Almost surely, 248484858968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48484858968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83614003200).

48484858968 is an abundant number, since it is smaller than the sum of its proper divisors (118743147432).

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

48484858968 is a wasteful number, since it uses less digits than its factorization.

48484858968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2151 (or 2144 counting only the distinct ones).

The product of its digits is 566231040, while the sum is 72.

The spelling of 48484858968 in words is "forty-eight billion, four hundred eighty-four million, eight hundred fifty-eight thousand, nine hundred sixty-eight".