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193855228448 = 2572111192
BaseRepresentation
bin1011010010001010101…
…1000000101000100000
3200112101002210221120212
42310202223000220200
511134003414302243
6225020022153252
720001625153100
oct2644253005040
9615332727525
10193855228448
117523924a402
12316a1882828
131538526528b
14954dd89200
155098c91318
hex2d22ac0a20

193855228448 has 54 divisors (see below), whose sum is σ = 444003022071. Its totient is φ = 83073340224.

The previous prime is 193855228447. The next prime is 193855228453. The reversal of 193855228448 is 844822558391.

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., 96927614224 + 96927614224 = 311332^2 + 311332^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=311332.

It is not an unprimeable number, because it can be changed into a prime (193855228447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 17429033 + ... + 17440151.

Almost surely, 2193855228448 is an apocalyptic number.

It is an amenable number.

193855228448 is an abundant number, since it is smaller than the sum of its proper divisors (250147793623).

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

193855228448 is an frugal number, since it uses more digits than its factorization.

193855228448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22262 (or 11128 counting only the distinct ones).

The product of its digits is 22118400, while the sum is 59.

The spelling of 193855228448 in words is "one hundred ninety-three billion, eight hundred fifty-five million, two hundred twenty-eight thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1568 11119 22238 44476 77833 88952 155666 177904 311332 355808 544831 622664 1089662 1245328 2179324 2490656 4358648 8717296 17434592 123632161 247264322 494528644 865425127 989057288 1730850254 1978114576 3461700508 3956229152 6057975889 6923401016 12115951778 13846802032 24231903556 27693604064 48463807112 96927614224 193855228448