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630758016 = 273572897
BaseRepresentation
bin100101100110001…
…001101010000000
31121221212211100000
4211212021222000
52242433224031
6142331200000
721426232440
oct4546115200
91557784300
10630758016
112a4056919
121572a6000
13a08a78c5
145dab2120
153a5963e6
hex25989a80

630758016 has 192 divisors, whose sum is σ = 2151938880. Its totient is φ = 180154368.

The previous prime is 630757993. The next prime is 630758047. The reversal of 630758016 is 610857036.

630758016 is a `hidden beast` number, since 63 + 0 + 7 + 580 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 216280 + ... + 219176.

It is an arithmetic number, because the mean of its divisors is an integer number (11208015).

Almost surely, 2630758016 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 630758016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1075969440).

630758016 is an abundant number, since it is smaller than the sum of its proper divisors (1521180864).

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

630758016 is an equidigital number, since it uses as much as digits as its factorization.

630758016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2933 (or 2909 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 630758016 is about 25114.8962968195. The cubic root of 630758016 is about 857.6055695970.

The spelling of 630758016 in words is "six hundred thirty million, seven hundred fifty-eight thousand, sixteen".