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9984309696 = 263319378219
BaseRepresentation
bin10010100110001110…
…00111100111000000
3221202211020111002000
421103013013213000
5130421440402241
64330422224000
7502264142424
oct112307074700
927684214060
109984309696
114263978719
121b27885000
13c3168587a
146aa03ab84
153d680deb6
hex2531c79c0

9984309696 has 224 divisors, whose sum is σ = 31735776000. Its totient is φ = 3067352064.

The previous prime is 9984309691. The next prime is 9984309703. The reversal of 9984309696 is 6969034899.

It is a super-2 number, since 2×99843096962 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9984309691) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1210675 + ... + 1218893.

Almost surely, 29984309696 is an apocalyptic number.

9984309696 is a gapful number since it is divisible by the number (96) 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 9984309696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15867888000).

9984309696 is an abundant number, since it is smaller than the sum of its proper divisors (21751466304).

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

9984309696 is a wasteful number, since it uses less digits than its factorization.

9984309696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8296 (or 8280 counting only the distinct ones).

The product of its (nonzero) digits is 22674816, while the sum is 63.

The square root of 9984309696 is about 99921.5176826293. The cubic root of 9984309696 is about 2153.3073090199.

The spelling of 9984309696 in words is "nine billion, nine hundred eighty-four million, three hundred nine thousand, six hundred ninety-six".