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63430277328 = 243211217214141
BaseRepresentation
bin111011000100101111…
…010011100011010000
320001201120020221121200
4323010233103203100
52014401122333303
645050042551200
74403601314145
oct730457234320
9201646227550
1063430277328
112499a813200
1210362808500
135c9b3242a2
1430da2a23cc
1519b398b3a3
hexec4bd38d0

63430277328 has 180 divisors, whose sum is σ = 206600347044. Its totient is φ = 18090547200.

The previous prime is 63430277321. The next prime is 63430277329. The reversal of 63430277328 is 82377203436.

63430277328 is a `hidden beast` number, since 6 + 343 + 0 + 277 + 32 + 8 = 666.

63430277328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 41807163024 + 21623114304 = 204468^2 + 147048^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63430277321) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 189138 + ... + 403278.

Almost surely, 263430277328 is an apocalyptic number.

63430277328 is a gapful number since it is divisible by the number (68) 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 63430277328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103300173522).

63430277328 is an abundant number, since it is smaller than the sum of its proper divisors (143170069716).

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

63430277328 is a wasteful number, since it uses less digits than its factorization.

63430277328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214194 (or 214174 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The spelling of 63430277328 in words is "sixty-three billion, four hundred thirty million, two hundred seventy-seven thousand, three hundred twenty-eight".