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47309965056 = 283371149647
BaseRepresentation
bin101100000011111001…
…001100011100000000
311112010010001020102000
4230003321030130000
51233342322340211
633422304424000
73263246032164
oct540371143400
9145103036360
1047309965056
1119078272a82
129204018000
1345cc664c83
14240b372ca4
15136d62c656
hexb03e4c700

47309965056 has 288 divisors, whose sum is σ = 143047296000. Its totient is φ = 15419658240.

The previous prime is 47309965013. The next prime is 47309965123. The reversal of 47309965056 is 65056990374.

47309965056 is a `hidden beast` number, since 47 + 3 + 0 + 9 + 96 + 505 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 47309964993 and 47309965011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73121725 + ... + 73122371.

It is an arithmetic number, because the mean of its divisors is an integer number (496692000).

Almost surely, 247309965056 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 47309965056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71523648000).

47309965056 is an abundant number, since it is smaller than the sum of its proper divisors (95737330944).

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

47309965056 is a wasteful number, since it uses less digits than its factorization.

47309965056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892 (or 872 counting only the distinct ones).

The product of its (nonzero) digits is 6123600, while the sum is 54.

The spelling of 47309965056 in words is "forty-seven billion, three hundred nine million, nine hundred sixty-five thousand, fifty-six".