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47815916064 = 2537435093251
BaseRepresentation
bin101100100010000011…
…001111101000100000
311120102101002012201020
4230202003033220200
51240411333303224
633544421005440
73311631403050
oct544203175040
9146371065636
1047815916064
1119307924504
129325553880
134680421977
142458637560
15139cc6dc79
hexb220cfa20

47815916064 has 192 divisors, whose sum is σ = 147117358080. Its totient is φ = 13313664000.

The previous prime is 47815916053. The next prime is 47815916069. The reversal of 47815916064 is 46061951874.

It is a junction number, because it is equal to n+sod(n) for n = 47815915998 and 47815916016.

It is not an unprimeable number, because it can be changed into a prime (47815916069) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14706439 + ... + 14709689.

It is an arithmetic number, because the mean of its divisors is an integer number (766236240).

Almost surely, 247815916064 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 47815916064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73558679040).

47815916064 is an abundant number, since it is smaller than the sum of its proper divisors (99301442016).

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

47815916064 is a wasteful number, since it uses less digits than its factorization.

47815916064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3823 (or 3815 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The spelling of 47815916064 in words is "forty-seven billion, eight hundred fifteen million, nine hundred sixteen thousand, sixty-four".