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206445254730000 = 24354112134374767
BaseRepresentation
bin101110111100001011001000…
…000100101110000100010000
31000001221222021202111110101120
4232330023020010232010100
5204024344340202330000
62011023350222402240
761325114602510236
oct5674131004560420
91001858252443346
10206445254730000
115a863a39307600
121b1a2582130380
138b2691c878750
1438da009dd2956
1518d01ac8c96a0
hexbbc2c812e110

206445254730000 has 600 divisors, whose sum is σ = 788873599941504. Its totient is φ = 46197528960000.

The previous prime is 206445254729947. The next prime is 206445254730007. The reversal of 206445254730000 is 37452544602.

It is a tau number, because it is divible by the number of its divisors (600).

It is not an unprimeable number, because it can be changed into a prime (206445254730007) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 45002617 + ... + 49377383.

Almost surely, 2206445254730000 is an apocalyptic number.

206445254730000 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 206445254730000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394436799970752).

206445254730000 is an abundant number, since it is smaller than the sum of its proper divisors (582428345211504).

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

206445254730000 is a wasteful number, since it uses less digits than its factorization.

206445254730000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4374833 (or 4374801 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 42.

The spelling of 206445254730000 in words is "two hundred six trillion, four hundred forty-five billion, two hundred fifty-four million, seven hundred thirty thousand".