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63343203840 = 293257974049
BaseRepresentation
bin111010111111100011…
…001001011000000000
320001111111102011020200
4322333203021120000
52014211330010330
645033252405200
74401463230450
oct727743113000
9201444364220
1063343203840
1124955650644
1210339616800
135c86288407
1430cc8b7d60
1519aaedba60
hexebf8c9600

63343203840 has 480 divisors, whose sum is σ = 253361908800. Its totient is φ = 14325645312.

The previous prime is 63343203823. The next prime is 63343203883. The reversal of 63343203840 is 4830234336.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×633432038402 (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 = 63343203795 and 63343203804.

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 47 ways as a sum of consecutive naturals, for example, 15642136 + ... + 15646184.

It is an arithmetic number, because the mean of its divisors is an integer number (527837310).

Almost surely, 263343203840 is an apocalyptic number.

63343203840 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 63343203840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126680954400).

63343203840 is an abundant number, since it is smaller than the sum of its proper divisors (190018704960).

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

63343203840 is a wasteful number, since it uses less digits than its factorization.

63343203840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4182 (or 4163 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

The spelling of 63343203840 in words is "sixty-three billion, three hundred forty-three million, two hundred three thousand, eight hundred forty".