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63753848690112 = 2632717930115673
BaseRepresentation
bin11100111111011110110011…
…00000010001010111000000
322100201210211022222002002100
432133233121200101113000
531324020340231040422
6343332040323350400
716300030542351630
oct1637573140212700
9270653738862070
1063753848690112
111934a945587359
127197b0ab22400
132975c67a6c569
1411a59ba46c6c0
157585b5a7b7ac
hex39fbd98115c0

63753848690112 has 168 divisors, whose sum is σ = 221129420799456. Its totient is φ = 17143892066304.

The previous prime is 63753848690087. The next prime is 63753848690117. The reversal of 63753848690112 is 21109684835736.

63753848690112 is a `hidden beast` number, since 6 + 3 + 7 + 5 + 38 + 486 + 9 + 0 + 112 = 666.

63753848690112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is a self number, because there is not a number n which added to its sum of digits gives 63753848690112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63753848690117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 464989293 + ... + 465126380.

It is a 2-persistent number, because it is pandigital, and so is 2⋅63753848690112 = 127507697380224, but 3⋅63753848690112 = 191261546070336 is not.

Almost surely, 263753848690112 is an apocalyptic number.

It is an amenable number.

63753848690112 is an abundant number, since it is smaller than the sum of its proper divisors (157375572109344).

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

63753848690112 is a wasteful number, since it uses less digits than its factorization.

63753848690112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930115715 (or 930115702 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 63753848690112 in words is "sixty-three trillion, seven hundred fifty-three billion, eight hundred forty-eight million, six hundred ninety thousand, one hundred twelve".