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47303728992 = 25321361320611
BaseRepresentation
bin101100000011100001…
…011001111101100000
311112002200022102010200
4230003201121331200
51233334223311432
633421523025200
73263142030222
oct540341317540
9145080272120
1047303728992
11190747a3803
129201b0b200
1345cb2906b0
14240a5cc412
15136cce9a7c
hexb03859f60

47303728992 has 144 divisors (see below), whose sum is σ = 145111035888. Its totient is φ = 14530544640.

The previous prime is 47303728963. The next prime is 47303728999. The reversal of 47303728992 is 29982730374.

47303728992 is a `hidden beast` number, since 473 + 0 + 3 + 7 + 2 + 89 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47303728999) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2284767 + ... + 2305377.

It is an arithmetic number, because the mean of its divisors is an integer number (1007715527).

Almost surely, 247303728992 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 47303728992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72555517944).

47303728992 is an abundant number, since it is smaller than the sum of its proper divisors (97807306896).

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

47303728992 is a wasteful number, since it uses less digits than its factorization.

47303728992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21253 (or 21242 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 47303728992 in words is "forty-seven billion, three hundred three million, seven hundred twenty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 613 624 936 1226 1248 1839 1872 2452 3678 3744 4904 5517 7356 7969 9808 11034 14712 15938 19616 20611 22068 23907 29424 31876 41222 44136 47814 58848 61833 63752 71721 82444 88272 95628 123666 127504 143442 164888 176544 185499 191256 247332 255008 267943 286884 329776 370998 382512 494664 535886 573768 659552 741996 765024 803829 989328 1071772 1147536 1483992 1607658 1978656 2143544 2295072 2411487 2967984 3215316 4287088 4822974 5935968 6430632 8574176 9645948 12634543 12861264 19291896 25269086 25722528 37903629 38583792 50538172 75807258 77167584 101076344 113710887 151614516 164249059 202152688 227421774 303229032 328498118 404305376 454843548 492747177 606458064 656996236 909687096 985494354 1212916128 1313992472 1478241531 1819374192 1970988708 2627984944 2956483062 3638748384 3941977416 5255969888 5912966124 7883954832 11825932248 15767909664 23651864496 47303728992