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63444011904 = 27327135871031
BaseRepresentation
bin111011000101100011…
…101100101110000000
320001202112002201220200
4323011203230232000
52014413131340104
645051253205200
74404126126510
oct730543545600
9201675081820
1063444011904
11249a7544199
1210367330800
135ca1122960
1430dc039840
1519b4ca0b39
hexec58ecb80

63444011904 has 384 divisors, whose sum is σ = 225298644480. Its totient is φ = 16687779840.

The previous prime is 63444011893. The next prime is 63444011933. The reversal of 63444011904 is 40911044436.

It is a happy number.

63444011904 is a `hidden beast` number, since 63 + 4 + 4 + 401 + 190 + 4 = 666.

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 (36).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 61535869 + ... + 61536899.

It is an arithmetic number, because the mean of its divisors is an integer number (586715220).

Almost surely, 263444011904 is an apocalyptic number.

63444011904 is a gapful number since it is divisible by the number (64) 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 63444011904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112649322240).

63444011904 is an abundant number, since it is smaller than the sum of its proper divisors (161854632576).

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

63444011904 is a wasteful number, since it uses less digits than its factorization.

63444011904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1658 (or 1643 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 63444011904 in words is "sixty-three billion, four hundred forty-four million, eleven thousand, nine hundred four".