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63133390848 = 2113115971223
BaseRepresentation
bin111010110011000010…
…110001100000000000
320000221212121112221010
4322303002301200000
52013244122001343
645000355400520
74363334652663
oct726302614000
9200855545833
1063133390848
1124858175a80
121029b2b3140
135c51976708
1430aca9d6da
151997894d33
hexeb30b1800

63133390848 has 384 divisors, whose sum is σ = 190207180800. Its totient is φ = 18459033600.

The previous prime is 63133390843. The next prime is 63133390933. The reversal of 63133390848 is 84809333136.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 63133390797 and 63133390806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63133390843) 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 31 ways as a sum of consecutive naturals, for example, 283109265 + ... + 283109487.

It is an arithmetic number, because the mean of its divisors is an integer number (495331200).

Almost surely, 263133390848 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 63133390848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95103590400).

63133390848 is an abundant number, since it is smaller than the sum of its proper divisors (127073789952).

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

63133390848 is a wasteful number, since it uses less digits than its factorization.

63133390848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 48.

The spelling of 63133390848 in words is "sixty-three billion, one hundred thirty-three million, three hundred ninety thousand, eight hundred forty-eight".