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47994605568 = 2123371319251
BaseRepresentation
bin101100101100101100…
…111001000000000000
311120212211022120122000
4230230230321000000
51241243104334233
634014242544000
73316231262520
oct545454710000
9146784276560
1047994605568
1119399781588
129375368000
1346ab4571c0
14247426d680
1513ad7b8d13
hexb2cb39000

47994605568 has 832 divisors, whose sum is σ = 184946227200. Its totient is φ = 11943936000.

The previous prime is 47994605567. The next prime is 47994605591. The reversal of 47994605568 is 86550649974.

47994605568 is a `hidden beast` number, since 4 + 7 + 9 + 9 + 4 + 60 + 5 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (832).

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

It is not an unprimeable number, because it can be changed into a prime (47994605567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 191213443 + ... + 191213693.

Almost surely, 247994605568 is an apocalyptic number.

47994605568 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47994605568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92473113600).

47994605568 is an abundant number, since it is smaller than the sum of its proper divisors (136951621632).

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

47994605568 is a wasteful number, since it uses less digits than its factorization.

47994605568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 47994605568 in words is "forty-seven billion, nine hundred ninety-four million, six hundred five thousand, five hundred sixty-eight".