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49984207056 = 2434731891997
BaseRepresentation
bin101110100011010010…
…100111100011010000
311210000111002210210000
4232203102213203100
51304331424111211
634543515010000
73416440515120
oct564322474320
9153014083700
1049984207056
111a21a866633
12982b739900
1349377004a4
1425c25bcc80
1514782c5656
hexba34a78d0

49984207056 has 400 divisors, whose sum is σ = 172673233920. Its totient is φ = 13658388480.

The previous prime is 49984207027. The next prime is 49984207057. The reversal of 49984207056 is 65070248994.

49984207056 is a `hidden beast` number, since 499 + 84 + 2 + 0 + 70 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 49984206993 and 49984207011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49984207057) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 25028650 + ... + 25030646.

Almost surely, 249984207056 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 49984207056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86336616960).

49984207056 is an abundant number, since it is smaller than the sum of its proper divisors (122689026864).

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

49984207056 is a wasteful number, since it uses less digits than its factorization.

49984207056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2144 (or 2129 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 49984207056 in words is "forty-nine billion, nine hundred eighty-four million, two hundred seven thousand, fifty-six".