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9312796416 = 2837112341167
BaseRepresentation
bin10001010110001010…
…11111111100000000
3220001000200002000210
420223011133330000
5123033033441131
64140033314120
7446531314650
oct105305377400
926030602023
109312796416
113a49915870
12197aa05940
13b5550b731
14644b9a360
153978b7146
hex22b15ff00

9312796416 has 576 divisors, whose sum is σ = 33229357056. Its totient is φ = 2243788800.

The previous prime is 9312796349. The next prime is 9312796483. The reversal of 9312796416 is 6146972139.

It is an interprime number because it is at equal distance from previous prime (9312796349) and next prime (9312796483).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55765165 + ... + 55765331.

It is an arithmetic number, because the mean of its divisors is an integer number (57689856).

Almost surely, 29312796416 is an apocalyptic number.

9312796416 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 9312796416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16614678528).

9312796416 is an abundant number, since it is smaller than the sum of its proper divisors (23916560640).

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

9312796416 is a wasteful number, since it uses less digits than its factorization.

9312796416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 254 counting only the distinct ones).

The product of its digits is 489888, while the sum is 48.

The square root of 9312796416 is about 96502.8311294544. The cubic root of 9312796416 is about 2103.9077966601.

The spelling of 9312796416 in words is "nine billion, three hundred twelve million, seven hundred ninety-six thousand, four hundred sixteen".