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4468313808 = 243472691831
BaseRepresentation
bin1000010100101010…
…10000111011010000
3102112101220212020000
410022111100323100
533122342020213
62015215250000
7215505016650
oct41225207320
912471825200
104468313808
111993279332
12a48519900
1356296118a
1430561c360
151b242ec73
hex10a550ed0

4468313808 has 200 divisors, whose sum is σ = 14843157120. Its totient is φ = 1271220480.

The previous prime is 4468313803. The next prime is 4468313821. The reversal of 4468313808 is 8083138644.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4468313803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2439453 + ... + 2441283.

Almost surely, 24468313808 is an apocalyptic number.

4468313808 is a gapful number since it is divisible by the number (48) 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 4468313808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7421578560).

4468313808 is an abundant number, since it is smaller than the sum of its proper divisors (10374843312).

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

4468313808 is a wasteful number, since it uses less digits than its factorization.

4468313808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2127 (or 2112 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 4468313808 is about 66845.4471748076. The cubic root of 4468313808 is about 1647.0794749988.

The spelling of 4468313808 in words is "four billion, four hundred sixty-eight million, three hundred thirteen thousand, eight hundred eight".