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47916085248 = 212381783
BaseRepresentation
bin101100101000000001…
…010111000000000000
311120200100120100000000
4230220001113000000
51241113004211443
634002400000000
73314256001353
oct545001270000
9146610510000
1047916085248
1119359421059
129353000000
1346980c4485
142467a7029a
1513a69588d3
hexb28057000

47916085248 has 234 divisors, whose sum is σ = 143804013704. Its totient is φ = 15963070464.

The previous prime is 47916085241. The next prime is 47916085249. The reversal of 47916085248 is 84258061974.

It is a happy number.

47916085248 is a `hidden beast` number, since 4 + 7 + 9 + 1 + 608 + 5 + 24 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 47916085194 and 47916085203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47916085241) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 26872965 + ... + 26874747.

Almost surely, 247916085248 is an apocalyptic number.

47916085248 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 47916085248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71902006852).

47916085248 is an abundant number, since it is smaller than the sum of its proper divisors (95887928456).

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

47916085248 is an frugal number, since it uses more digits than its factorization.

47916085248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1831 (or 1788 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 47916085248 in words is "forty-seven billion, nine hundred sixteen million, eighty-five thousand, two hundred forty-eight".