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2522264890896 = 24321323472
BaseRepresentation
bin100100101101000010101…
…100111110111000010000
322221010101222101012200100
4210231002230332320100
5312311044303002041
65210413522052400
7350141034554652
oct44550254767020
98833358335610
102522264890896
11892760859363
123489b94aa100
13153b0538b5aa
148a114ac86d2
15459236156b6
hex24b42b3ee10

2522264890896 has 45 divisors (see below), whose sum is σ = 7058891885071. Its totient is φ = 840748610976.

The previous prime is 2522264890841. The next prime is 2522264890897. The reversal of 2522264890896 is 6980984622252.

The square root of 2522264890896 is 1588164.

It is a perfect power (a square), and thus also a powerful number.

2522264890896 is a `hidden beast` number, since 2 + 52 + 2 + 26 + 489 + 0 + 89 + 6 = 666.

It is a super-2 number, since 2×25222648908962 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2522264890897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 18991795 + ... + 19124141.

Almost surely, 22522264890896 is an apocalyptic number.

2522264890896 is the 1588164-th square number.

It is an amenable number.

2522264890896 is an abundant number, since it is smaller than the sum of its proper divisors (4536626994175).

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

2522264890896 is an frugal number, since it uses more digits than its factorization.

2522264890896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264708 (or 132352 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 2522264890896 in words is "two trillion, five hundred twenty-two billion, two hundred sixty-four million, eight hundred ninety thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 132347 264694 397041 529388 794082 1058776 1191123 1588164 2117552 2382246 3176328 4764492 6352656 9528984 19057968 17515728409 35031456818 52547185227 70062913636 105094370454 140125827272 157641555681 210188740908 280251654544 315283111362 420377481816 630566222724 840754963632 1261132445448 2522264890896