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9812396256 = 25313531091361
BaseRepresentation
bin10010010001101110…
…10100100011100000
3221022211202101011120
421020313110203200
5130043433140011
64301401412240
7465105664155
oct111067244340
927284671146
109812396256
1141859295a3
121a9a19a080
13c04b83640
1469128a22c
153c66a1a06
hex248dd48e0

9812396256 has 192 divisors, whose sum is σ = 28542507840. Its totient is φ = 2932899840.

The previous prime is 9812396219. The next prime is 9812396257. The reversal of 9812396256 is 6526932189.

It is a junction number, because it is equal to n+sod(n) for n = 9812396199 and 9812396208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9812396257) 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, 7209016 + ... + 7210376.

It is an arithmetic number, because the mean of its divisors is an integer number (148658895).

Almost surely, 29812396256 is an apocalyptic number.

9812396256 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 9812396256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14271253920).

9812396256 is an abundant number, since it is smaller than the sum of its proper divisors (18730111584).

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

9812396256 is a wasteful number, since it uses less digits than its factorization.

9812396256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1549 (or 1541 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 51.

The square root of 9812396256 is about 99057.5401269383. The cubic root of 9812396256 is about 2140.8768829036.

The spelling of 9812396256 in words is "nine billion, eight hundred twelve million, three hundred ninety-six thousand, two hundred fifty-six".