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20264203442340 = 2234511132317921247
BaseRepresentation
bin1001001101110001000001…
…01001011101100010100100
32122202020110011211222210000
410212320200221131202210
510124002042040123330
6111033125130501300
74161016565152344
oct446704051354244
978666404758700
1020264203442340
116503000613790
122333408894830
13b3cba1b72880
14500b15182d24
152521b9abc560
hex126e20a5d8a4

20264203442340 has 960 divisors, whose sum is σ = 78369260175360. Its totient is φ = 4313053578240.

The previous prime is 20264203442299. The next prime is 20264203442437. The reversal of 20264203442340 is 4324430246202.

20264203442340 is a `hidden beast` number, since 2 + 0 + 2 + 6 + 4 + 203 + 442 + 3 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 20264203442295 and 20264203442304.

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 319 ways as a sum of consecutive naturals, for example, 953733597 + ... + 953754843.

It is an arithmetic number, because the mean of its divisors is an integer number (81634646016).

Almost surely, 220264203442340 is an apocalyptic number.

20264203442340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20264203442340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39184630087680).

20264203442340 is an abundant number, since it is smaller than the sum of its proper divisors (58105056733020).

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

20264203442340 is a wasteful number, since it uses less digits than its factorization.

20264203442340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21494 (or 21483 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 20264203442340 its reverse (4324430246202), we get a palindrome (24588633688542).

The spelling of 20264203442340 in words is "twenty trillion, two hundred sixty-four billion, two hundred three million, four hundred forty-two thousand, three hundred forty".