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63399442752 = 2632416733989
BaseRepresentation
bin111011000010111001…
…101011100101000000
320001122102020101112100
4323002321223211000
52014320224132002
645043022030400
74403045241342
oct730271534500
9201572211470
1063399442752
1124984372788
1210354418400
135c94b19489
1430d6157292
1519b0dea11c
hexec2e6b940

63399442752 has 168 divisors, whose sum is σ = 186478666920. Its totient is φ = 20581908480.

The previous prime is 63399442739. The next prime is 63399442783. The reversal of 63399442752 is 25724499336.

63399442752 is a `hidden beast` number, since 63 + 3 + 99 + 442 + 7 + 52 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4260096 + 63395182656 = 2064^2 + 251784^2 .

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 23 ways as a sum of consecutive naturals, for example, 15891574 + ... + 15895562.

It is an arithmetic number, because the mean of its divisors is an integer number (1109992065).

Almost surely, 263399442752 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 63399442752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93239333460).

63399442752 is an abundant number, since it is smaller than the sum of its proper divisors (123079224168).

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

63399442752 is a wasteful number, since it uses less digits than its factorization.

63399442752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4721 (or 4708 counting only the distinct ones).

The product of its digits is 9797760, while the sum is 54.

The spelling of 63399442752 in words is "sixty-three billion, three hundred ninety-nine million, four hundred forty-two thousand, seven hundred fifty-two".