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49718199168 = 273411239631
BaseRepresentation
bin101110010011011011…
…111000001110000000
311202022221120012120000
4232103123320032000
51303310324333133
634501253320000
73410030501661
oct562333701600
9152287505500
1049718199168
111a0a3699a00
129776636000
1348c4574781
142599137368
15145ec7d413
hexb936f8380

49718199168 has 240 divisors, whose sum is σ = 162638432880. Its totient is φ = 15065740800.

The previous prime is 49718199163. The next prime is 49718199197. The reversal of 49718199168 is 86199181794.

49718199168 is a `hidden beast` number, since 497 + 1 + 81 + 9 + 9 + 1 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49718199163) 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 29 ways as a sum of consecutive naturals, for example, 1234713 + ... + 1274343.

It is an arithmetic number, because the mean of its divisors is an integer number (677660137).

Almost surely, 249718199168 is an apocalyptic number.

49718199168 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 49718199168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81319216440).

49718199168 is an abundant number, since it is smaller than the sum of its proper divisors (112920233712).

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

49718199168 is a wasteful number, since it uses less digits than its factorization.

49718199168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39679 (or 39647 counting only the distinct ones).

The product of its digits is 7838208, while the sum is 63.

The spelling of 49718199168 in words is "forty-nine billion, seven hundred eighteen million, one hundred ninety-nine thousand, one hundred sixty-eight".