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63025303068 = 223371373107821
BaseRepresentation
bin111010101100100110…
…011100111000011100
320000200100020010101000
4322230212130320130
52013033434144233
644541534550300
74360553144160
oct725446347034
9200610203330
1063025303068
1124802160032
121026b068390
135c35460850
14309c5a4ca0
15198d143d13
hexeac99ce1c

63025303068 has 384 divisors, whose sum is σ = 206017136640. Its totient is φ = 16221358080.

The previous prime is 63025303051. The next prime is 63025303069. The reversal of 63025303068 is 86030352036.

It is a happy number.

63025303068 is a `hidden beast` number, since 6 + 30 + 2 + 530 + 30 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63025303069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 76766098 + ... + 76766918.

It is an arithmetic number, because the mean of its divisors is an integer number (536502960).

Almost surely, 263025303068 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 63025303068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103008568320).

63025303068 is an abundant number, since it is smaller than the sum of its proper divisors (142991833572).

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

63025303068 is a wasteful number, since it uses less digits than its factorization.

63025303068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1034 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 63025303068 in words is "sixty-three billion, twenty-five million, three hundred three thousand, sixty-eight".