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996894592128 = 273223212792
BaseRepresentation
bin11101000000110111000…
…11000100110010000000
310112022011022001100201200
432200123203010302000
5112313120003422003
62041544514501200
7132010656135531
oct16403343046200
93468138040650
10996894592128
11354865010006
12141255b94800
1373011ac91a6
143636dc42688
151ade8d006a3
hexe81b8c4c80

996894592128 has 216 divisors, whose sum is σ = 3001162031595. Its totient is φ = 317601934848.

The previous prime is 996894592087. The next prime is 996894592129. The reversal of 996894592128 is 821295498699.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

996894592128 is a `hidden beast` number, since 9 + 9 + 6 + 8 + 9 + 4 + 592 + 1 + 28 = 666.

It can be written as a sum of positive squares in only one way, i.e., 498447296064 + 498447296064 = 706008^2 + 706008^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=706008.

It is a super-4 number, since 4×9968945921284 (a number of 49 digits) contains 4444 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (996894592129) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 779432193 + ... + 779433471.

Almost surely, 2996894592128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 996894592128

996894592128 is an abundant number, since it is smaller than the sum of its proper divisors (2004267439467).

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

996894592128 is an equidigital number, since it uses as much as digits as its factorization.

996894592128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2624 (or 1307 counting only the distinct ones).

The product of its digits is 201553920, while the sum is 72.

Multiplying 996894592128 by its sum of digits (72), we get a square (71776410633216 = 84720962).

996894592128 divided by its sum of digits (72) gives a square (13845758224 = 1176682).

The spelling of 996894592128 in words is "nine hundred ninety-six billion, eight hundred ninety-four million, five hundred ninety-two thousand, one hundred twenty-eight".