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47491681608 = 23327213461361
BaseRepresentation
bin101100001110101110…
…011000110101001000
311112120202222101122200
4230032232120311020
51234230332302413
633452315320200
73300613430100
oct541656306510
9145522871580
1047491681608
11191608a8348
129254a50060
13462b1ba267
142427556200
15137e574573
hexb0eb98d48

47491681608 has 72 divisors (see below), whose sum is σ = 149623038630. Its totient is φ = 13569050880.

The previous prime is 47491681579. The next prime is 47491681673. The reversal of 47491681608 is 80618619474.

47491681608 is a `hidden beast` number, since 474 + 9 + 1 + 6 + 8 + 160 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 39116137284 + 8375544324 = 197778^2 + 91518^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 17 ways as a sum of consecutive naturals, for example, 6727153 + ... + 6734208.

Almost surely, 247491681608 is an apocalyptic number.

It is an amenable number.

47491681608 is an abundant number, since it is smaller than the sum of its proper divisors (102131357022).

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

47491681608 is a wasteful number, since it uses less digits than its factorization.

47491681608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13461387 (or 13461373 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 47491681608 in words is "forty-seven billion, four hundred ninety-one million, six hundred eighty-one thousand, six hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1764 3528 13461361 26922722 40384083 53845444 80768166 94229527 107690888 121152249 161536332 188459054 242304498 282688581 323072664 376918108 484608996 565377162 659606689 753836216 848065743 969217992 1130754324 1319213378 1696131486 1978820067 2261508648 2638426756 3392262972 3957640134 5276853512 5936460201 6784525944 7915280268 11872920402 15830560536 23745840804 47491681608