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5931378816 = 2731129411181
BaseRepresentation
bin1011000011000100…
…11010100010000000
3120022100221021002220
411201202122202000
544121413110231
62420322011040
7266661613416
oct54142324200
916270837086
105931378816
112574121770
1211964a6a80
13736ac0a0c
14403a692b6
1524aad0896
hex16189a880

5931378816 has 256 divisors, whose sum is σ = 18229276800. Its totient is φ = 1691648000.

The previous prime is 5931378811. The next prime is 5931378839. The reversal of 5931378816 is 6188731395.

It is not an unprimeable number, because it can be changed into a prime (5931378811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5021746 + ... + 5022926.

Almost surely, 25931378816 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 5931378816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9114638400).

5931378816 is an abundant number, since it is smaller than the sum of its proper divisors (12297897984).

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

5931378816 is a wasteful number, since it uses less digits than its factorization.

5931378816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1279 (or 1267 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 51.

The square root of 5931378816 is about 77015.4453080679. The cubic root of 5931378816 is about 1810.1666275178.

The spelling of 5931378816 in words is "five billion, nine hundred thirty-one million, three hundred seventy-eight thousand, eight hundred sixteen".