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9903193056 = 25331732333
BaseRepresentation
bin10010011100100011…
…01011101111100000
3221120011121022222000
421032101223233200
5130240204134211
64314403444000
7500260515651
oct111621535740
927504538860
109903193056
114222104579
121b04686600
13c1a924163
1469d363528
153ce639656
hex24e46bbe0

9903193056 has 192 divisors, whose sum is σ = 30702369600. Its totient is φ = 3105552384.

The previous prime is 9903193049. The next prime is 9903193081. The reversal of 9903193056 is 6503913099.

9903193056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 4243666 + ... + 4245998.

It is an arithmetic number, because the mean of its divisors is an integer number (159908175).

Almost surely, 29903193056 is an apocalyptic number.

9903193056 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 9903193056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15351184800).

9903193056 is an abundant number, since it is smaller than the sum of its proper divisors (20799176544).

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

9903193056 is a wasteful number, since it uses less digits than its factorization.

9903193056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2403 (or 2355 counting only the distinct ones).

The product of its (nonzero) digits is 196830, while the sum is 45.

The square root of 9903193056 is about 99514.7881271924. The cubic root of 9903193056 is about 2147.4599934634.

The spelling of 9903193056 in words is "nine billion, nine hundred three million, one hundred ninety-three thousand, fifty-six".