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9996944730480 = 24335311271175569
BaseRepresentation
bin1001000101111001100001…
…0101101110100101110000
31022101200212021012110222000
42101132120111232211300
52302242220322333410
633132311044014000
72051153416106061
oct221363025564560
938350767173860
109996944730480
113204753753894
121155584691300
13576928192236
14267bd745a568
1512509bad2dc0
hex9179856e970

9996944730480 has 320 divisors, whose sum is σ = 35824602316800. Its totient is φ = 2559540695040.

The previous prime is 9996944730467. The next prime is 9996944730559. The reversal of 9996944730480 is 840374496999.

9996944730480 is a `hidden beast` number, since 9 + 99 + 69 + 4 + 473 + 0 + 4 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 9996944730399 and 9996944730408.

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, 7916136 + ... + 9091704.

It is an arithmetic number, because the mean of its divisors is an integer number (111951882240).

Almost surely, 29996944730480 is an apocalyptic number.

9996944730480 is a gapful number since it is divisible by the number (90) 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 9996944730480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17912301158400).

9996944730480 is an abundant number, since it is smaller than the sum of its proper divisors (25827657586320).

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

9996944730480 is a wasteful number, since it uses less digits than its factorization.

9996944730480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1175749 (or 1175737 counting only the distinct ones).

The product of its (nonzero) digits is 423263232, while the sum is 72.

The spelling of 9996944730480 in words is "nine trillion, nine hundred ninety-six billion, nine hundred forty-four million, seven hundred thirty thousand, four hundred eighty".