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2206566891360 = 2534513107122401
BaseRepresentation
bin100000000111000001101…
…000101011111101100000
321210221112102220011220000
4200013001220223331200
5242123022111010420
64405403254220000
7315263533052646
oct40070150537540
97727472804800
102206566891360
11780888537727
122b7792954600
13130103224c80
1478b26b89196
153c5e7c17690
hex201c1a2bf60

2206566891360 has 480 divisors, whose sum is σ = 8464815086112. Its totient is φ = 538074316800.

The previous prime is 2206566891271. The next prime is 2206566891379. The reversal of 2206566891360 is 631986656022.

2206566891360 is a `hidden beast` number, since 2 + 2 + 0 + 6 + 566 + 8 + 9 + 13 + 60 = 666.

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

It is a super-2 number, since 2×22065668913602 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2206566891297 and 2206566891306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17966160 + ... + 18088560.

Almost surely, 22206566891360 is an apocalyptic number.

2206566891360 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 2206566891360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4232407543056).

2206566891360 is an abundant number, since it is smaller than the sum of its proper divisors (6258248194752).

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

2206566891360 is a wasteful number, since it uses less digits than its factorization.

2206566891360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122548 (or 122531 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 2206566891360 in words is "two trillion, two hundred six billion, five hundred sixty-six million, eight hundred ninety-one thousand, three hundred sixty".