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63433363140 = 223457193773109
BaseRepresentation
bin111011000100111011…
…000100111011000100
320001201210001201120000
4323010323010323010
52014402420110030
645050233041300
74403636455530
oct730473047304
9201653051500
1063433363140
11249a1530664
1210363856230
135c9bb64a04
1430da866bc0
1519b3d9a860
hexec4ec4ec4

63433363140 has 960 divisors, whose sum is σ = 251514278400. Its totient is φ = 13060694016.

The previous prime is 63433363127. The next prime is 63433363207. The reversal of 63433363140 is 4136333436.

63433363140 is a `hidden beast` number, since 6 + 3 + 4 + 3 + 336 + 314 + 0 = 666.

63433363140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×634333631402 (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 63433363095 and 63433363104.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 581957406 + ... + 581957514.

It is an arithmetic number, because the mean of its divisors is an integer number (261994040).

Almost surely, 263433363140 is an apocalyptic number.

63433363140 is a gapful number since it is divisible by the number (60) 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 63433363140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125757139200).

63433363140 is an abundant number, since it is smaller than the sum of its proper divisors (188080915260).

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

63433363140 is a wasteful number, since it uses less digits than its factorization.

63433363140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 36.

Adding to 63433363140 its reverse (4136333436), we get a palindrome (67569696576).

The spelling of 63433363140 in words is "sixty-three billion, four hundred thirty-three million, three hundred sixty-three thousand, one hundred forty".