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47488912416 = 25331129434007
BaseRepresentation
bin101100001110100011…
…110100110000100000
311112120120202201001000
4230032203310300200
51234224130144131
633452140112000
73300551044461
oct541643646040
9145516681030
1047488912416
111915a286860
129253b35600
13462a75a99a
142427034d68
15137e1c8ce6
hexb0e8f4c20

47488912416 has 384 divisors, whose sum is σ = 159986534400. Its totient is φ = 13567841280.

The previous prime is 47488912381. The next prime is 47488912433. The reversal of 47488912416 is 61421988474.

47488912416 is a `hidden beast` number, since 47 + 488 + 91 + 24 + 16 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11849485 + ... + 11853491.

It is an arithmetic number, because the mean of its divisors is an integer number (416631600).

Almost surely, 247488912416 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 47488912416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79993267200).

47488912416 is an abundant number, since it is smaller than the sum of its proper divisors (112497621984).

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

47488912416 is a wasteful number, since it uses less digits than its factorization.

47488912416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4109 (or 4095 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The spelling of 47488912416 in words is "forty-seven billion, four hundred eighty-eight million, nine hundred twelve thousand, four hundred sixteen".