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992240384328 = 233410923592
BaseRepresentation
bin11100111000001100010…
…00101011100101001000
310111212010221100002220000
432130012020223211020
5112224102014244303
62035455015003000
7131454433051554
oct16340610534510
93455127302800
10992240384328
11352896913886
12140377369460
137274c7ac48b
143604ba74864
151ac25400da3
hexe70622b948

992240384328 has 180 divisors, whose sum is σ = 2812757828265. Its totient is φ = 326799572544.

The previous prime is 992240384297. The next prime is 992240384329. The reversal of 992240384328 is 823483042299.

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.

992240384328 is a `hidden beast` number, since 9 + 9 + 224 + 0 + 384 + 32 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 952111480644 + 40128903684 = 975762^2 + 200322^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=704358.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (992240384329) by changing a digit.

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 44 ways as a sum of consecutive naturals, for example, 2763900613 + ... + 2763900971.

Almost surely, 2992240384328 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 992240384328

992240384328 is an abundant number, since it is smaller than the sum of its proper divisors (1820517443937).

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

992240384328 is an equidigital number, since it uses as much as digits as its factorization.

992240384328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 992240384328 in words is "nine hundred ninety-two billion, two hundred forty million, three hundred eighty-four thousand, three hundred twenty-eight".