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47076848784 = 243674412
BaseRepresentation
bin101011110101111111…
…111011010010010000
311111111212101201000000
4223311333323102100
51232403133130114
633343220130000
73254415420000
oct536577732220
9144455351000
1047076848784
1118a687212a9
129159b36900
134593284454
1423c8410000
151357e30e09
hexaf5ffb490

47076848784 has 525 divisors, whose sum is σ = 163523525609. Its totient is φ = 13122466560.

The previous prime is 47076848771. The next prime is 47076848789. The reversal of 47076848784 is 48784867074.

The square root of 47076848784 is 216972.

It is a perfect power (a square), and thus also a powerful number.

47076848784 is a `hidden beast` number, since 4 + 7 + 0 + 76 + 8 + 487 + 84 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2268426384 + 44808422400 = 47628^2 + 211680^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (47076848789) by changing a digit.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 1148215804 + ... + 1148215844.

Almost surely, 247076848784 is an apocalyptic number.

47076848784 is the 216972-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47076848784

47076848784 is an abundant number, since it is smaller than the sum of its proper divisors (116446676825).

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

47076848784 is an frugal number, since it uses more digits than its factorization.

47076848784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 67436544, while the sum is 63.

The spelling of 47076848784 in words is "forty-seven billion, seventy-six million, eight hundred forty-eight thousand, seven hundred eighty-four".