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20266606103040 = 2932511791012229
BaseRepresentation
bin1001001101110101011111…
…10110111000101000000000
32122202110122121212210122100
410212322233312320220000
510124022002130244130
6111034203400110400
74161133251350133
oct446725766705000
978673577783570
1020266606103040
116504023883290
122333979465400
13b401958805ab
14500ca22d621a
152522aa9bbc60
hex126eafdb8a00

20266606103040 has 480 divisors, whose sum is σ = 77539085395200. Its totient is φ = 4850920488960.

The previous prime is 20266606102997. The next prime is 20266606103057. The reversal of 20266606103040 is 4030160666202.

It is a tau number, because it is divible by the number of its divisors (480).

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 = 20266606102986 and 20266606103004.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19515646 + ... + 20527874.

It is an arithmetic number, because the mean of its divisors is an integer number (161539761240).

Almost surely, 220266606103040 is an apocalyptic number.

20266606103040 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 20266606103040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38769542697600).

20266606103040 is an abundant number, since it is smaller than the sum of its proper divisors (57272479292160).

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

20266606103040 is a wasteful number, since it uses less digits than its factorization.

20266606103040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012348 (or 1012329 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

Adding to 20266606103040 its reverse (4030160666202), we get a palindrome (24296766769242).

The spelling of 20266606103040 in words is "twenty trillion, two hundred sixty-six billion, six hundred six million, one hundred three thousand, forty".