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9955581696 = 2835198423
BaseRepresentation
bin10010100010110011…
…00001111100000000
3221200211011221200000
421101121201330000
5130342112103241
64323514400000
7501465022344
oct112131417400
927624157600
109955581696
114249736975
121b1a130000
13c28737858
146a62bd624
153d4036eb6
hex251661f00

9955581696 has 216 divisors, whose sum is σ = 31337953920. Its totient is φ = 3143494656.

The previous prime is 9955581653. The next prime is 9955581703. The reversal of 9955581696 is 6961855599.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×99555816962 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1177741 + ... + 1186163.

It is an arithmetic number, because the mean of its divisors is an integer number (145083120).

Almost surely, 29955581696 is an apocalyptic number.

9955581696 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 9955581696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15668976960).

9955581696 is an abundant number, since it is smaller than the sum of its proper divisors (21382372224).

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

9955581696 is an equidigital number, since it uses as much as digits as its factorization.

9955581696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8473 (or 8447 counting only the distinct ones).

The product of its digits is 26244000, while the sum is 63.

The square root of 9955581696 is about 99777.6613075292. The cubic root of 9955581696 is about 2151.2400775434.

The spelling of 9955581696 in words is "nine billion, nine hundred fifty-five million, five hundred eighty-one thousand, six hundred ninety-six".