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47222753760 = 253757131483
BaseRepresentation
bin101011111110101100…
…100000100111100000
311111220000221110000000
4223332230200213200
51233203011110020
633405511300000
73261136532640
oct537654404740
9144800843000
1047222753760
1119033016926
12919a97a600
1345b757b460
1423dd950520
151365b52090
hexafeb209e0

47222753760 has 768 divisors, whose sum is σ = 206071326720. Its totient is φ = 9956763648.

The previous prime is 47222753759. The next prime is 47222753801. The reversal of 47222753760 is 6735722274.

47222753760 is a `hidden beast` number, since 4 + 7 + 2 + 2 + 275 + 376 + 0 = 666.

47222753760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 31841979 + ... + 31843461.

It is an arithmetic number, because the mean of its divisors is an integer number (268322040).

Almost surely, 247222753760 is an apocalyptic number.

47222753760 is a gapful number since it is divisible by the number (40) 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 47222753760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103035663360).

47222753760 is an abundant number, since it is smaller than the sum of its proper divisors (158848572960).

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

47222753760 is a wasteful number, since it uses less digits than its factorization.

47222753760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1539 (or 1513 counting only the distinct ones).

The product of its (nonzero) digits is 987840, while the sum is 45.

The spelling of 47222753760 in words is "forty-seven billion, two hundred twenty-two million, seven hundred fifty-three thousand, seven hundred sixty".