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322655084672 = 27502072
BaseRepresentation
bin1001011000111111011…
…11011110000010000000
31010211211101110120110012
410230133233132002000
520241244200202142
6404120430124052
732211456653024
oct4543757360200
91124741416405
10322655084672
11114923424778
1252648650628
13245705c505b
141188bcc8384
1585d658b882
hex4b1fbde080

322655084672 has 24 divisors (see below), whose sum is σ = 642802229535. Its totient is φ = 161324329088.

The previous prime is 322655084537. The next prime is 322655084747. The reversal of 322655084672 is 276480556223.

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.

It can be written as a sum of positive squares in only one way, i.e., 161327542336 + 161327542336 = 401656^2 + 401656^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=401656.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 322655084672.

It is an unprimeable number.

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 2 ways as a sum of consecutive naturals, for example, 6401393 + ... + 6451599.

Almost surely, 2322655084672 is an apocalyptic number.

322655084672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

322655084672 is a deficient number, since it is larger than the sum of its proper divisors (320147144863).

322655084672 is an frugal number, since it uses more digits than its factorization.

322655084672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100428 (or 50209 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 50.

Multiplying 322655084672 by its sum of digits (50), we get a square (16132754233600 = 40165602).

The spelling of 322655084672 in words is "three hundred twenty-two billion, six hundred fifty-five million, eighty-four thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 32 64 128 50207 100414 200828 401656 803312 1606624 3213248 6426496 2520742849 5041485698 10082971396 20165942792 40331885584 80663771168 161327542336 322655084672