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6430317696 = 2732114311801
BaseRepresentation
bin1011111110100011…
…01101110010000000
3121121010202222120200
411333101231302000
5101132130131241
62542024005200
7315230540625
oct57721556200
917533688520
106430317696
1127aa823950
1212b5600800
137b6293b1a
1445002634c
152797d94b6
hex17f46dc80

6430317696 has 192 divisors, whose sum is σ = 20657276640. Its totient is φ = 1903104000.

The previous prime is 6430317683. The next prime is 6430317701. The reversal of 6430317696 is 6967130346.

It is a tau number, because it is divible by the number of its divisors (192).

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 23 ways as a sum of consecutive naturals, for example, 538996 + ... + 550796.

Almost surely, 26430317696 is an apocalyptic number.

6430317696 is a gapful number since it is divisible by the number (66) 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 6430317696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10328638320).

6430317696 is an abundant number, since it is smaller than the sum of its proper divisors (14226958944).

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

6430317696 is a wasteful number, since it uses less digits than its factorization.

6430317696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11875 (or 11860 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The square root of 6430317696 is about 80189.2617249966. The cubic root of 6430317696 is about 1859.5626304268.

The spelling of 6430317696 in words is "six billion, four hundred thirty million, three hundred seventeen thousand, six hundred ninety-six".