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9983308608 = 26327313323
BaseRepresentation
bin10010100110000110…
…10011001101000000
3221202202100121211200
421103003103031000
5130421211333413
64330344541200
7502252503000
oct112303231500
927682317750
109983308608
114263354579
121b27481800
13c313c5000
146a9c5a000
153d66b2573
hex2530d3340

9983308608 has 672 divisors, whose sum is σ = 37722048000. Its totient is φ = 2518483968.

The previous prime is 9983308561. The next prime is 9983308627. The reversal of 9983308608 is 8068033899.

It is a tau number, because it is divible by the number of its divisors (672).

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 95 ways as a sum of consecutive naturals, for example, 434056885 + ... + 434056907.

It is an arithmetic number, because the mean of its divisors is an integer number (56134000).

Almost surely, 29983308608 is an apocalyptic number.

9983308608 is a gapful number since it is divisible by the number (98) 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 9983308608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18861024000).

9983308608 is an abundant number, since it is smaller than the sum of its proper divisors (27738739392).

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

9983308608 is a wasteful number, since it uses less digits than its factorization.

9983308608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The square root of 9983308608 is about 99916.5081855846. The cubic root of 9983308608 is about 2153.2353386911.

The spelling of 9983308608 in words is "nine billion, nine hundred eighty-three million, three hundred eight thousand, six hundred eight".