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47565865216 = 284323172
BaseRepresentation
bin101100010011001001…
…011000000100000000
311112202221120022102201
4230103021120010000
51234403330141331
633503525322544
73302504116612
oct542311300400
9145687508381
1047565865216
1119199766611
129275866454
13464069209c
142433346db2
151385d29a61
hexb13258100

47565865216 has 81 divisors (see below), whose sum is σ = 97512929661. Its totient is φ = 23156560896.

The previous prime is 47565865213. The next prime is 47565865223. The reversal of 47565865216 is 61256856574.

The square root of 47565865216 is 218096.

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

It can be written as a sum of positive squares in only one way, i.e., 2662560000 + 44903305216 = 51600^2 + 211904^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (47565865213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 150049890 + ... + 150050206.

Almost surely, 247565865216 is an apocalyptic number.

47565865216 is the 218096-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47565865216

47565865216 is an abundant number, since it is smaller than the sum of its proper divisors (49947064445).

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

47565865216 is an frugal number, since it uses more digits than its factorization.

47565865216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736 (or 362 counting only the distinct ones).

The product of its digits is 12096000, while the sum is 55.

The spelling of 47565865216 in words is "forty-seven billion, five hundred sixty-five million, eight hundred sixty-five thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 32 43 64 86 128 172 256 317 344 634 688 1268 1376 1849 2536 2752 3698 5072 5504 7396 10144 11008 13631 14792 20288 27262 29584 40576 54524 59168 81152 100489 109048 118336 200978 218096 236672 401956 436192 473344 586133 803912 872384 1172266 1607824 1744768 2344532 3215648 3489536 4321027 4689064 6431296 8642054 9378128 12862592 17284108 18756256 25725184 34568216 37512512 69136432 75025024 138272864 150050048 185804161 276545728 371608322 553091456 743216644 1106182912 1486433288 2972866576 5945733152 11891466304 23782932608 47565865216