Search a number
-
+
47666605206 = 231133126211
BaseRepresentation
bin101100011001001001…
…101010110010010110
311120000222010102201110
4230121021222302112
51240110122331311
633521524435450
73305136313323
oct543111526226
9146028112643
1047666605206
1119240613000
1292a3548b86
13465850464c
14244288bb4a
15138eac88a6
hexb1926ac96

47666605206 has 96 divisors (see below), whose sum is σ = 108368489088. Its totient is φ = 13976226000.

The previous prime is 47666605187. The next prime is 47666605219. The reversal of 47666605206 is 60250666674.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7671441 + ... + 7677651.

It is an arithmetic number, because the mean of its divisors is an integer number (1128838428).

Almost surely, 247666605206 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47666605206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54184244544).

47666605206 is an abundant number, since it is smaller than the sum of its proper divisors (60701883882).

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

47666605206 is a wasteful number, since it uses less digits than its factorization.

47666605206 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6311 (or 6258 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 48.

The spelling of 47666605206 in words is "forty-seven billion, six hundred sixty-six million, six hundred five thousand, two hundred six".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 121 186 242 341 363 682 726 961 1023 1331 1922 2046 2662 2883 3751 3993 5766 6211 7502 7986 10571 11253 12422 18633 21142 22506 31713 37266 41261 63426 68321 82522 116281 123783 136642 192541 204963 232562 247566 348843 385082 409926 577623 697686 751531 1155246 1279091 1503062 2117951 2254593 2558182 3837273 4235902 4509186 5968771 6353853 7674546 8266841 11937542 12707706 16533682 17906313 23297461 24800523 35812626 46594922 49601046 65656481 69892383 131312962 139784766 196969443 256272071 393938886 512544142 722221291 768816213 1444442582 1537632426 2166663873 4333327746 7944434201 15888868402 23833302603 47666605206