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206993161746 = 233717219313217
BaseRepresentation
bin1100000011000111000…
…0001111111000010010
3201210021201011002222000
43000301300033320102
511342410222133441
6235031421454430
720645324562450
oct3006160177022
9653251132860
10206993161746
117a870275118
1234149711416
131669a09c6c7
14a038b7b9d0
1555b738c2b6
hex3031c0fe12

206993161746 has 384 divisors, whose sum is σ = 606981734400. Its totient is φ = 51015536640.

The previous prime is 206993161717. The next prime is 206993161747. The reversal of 206993161746 is 647161399602.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 206993161692 and 206993161701.

It is not an unprimeable number, because it can be changed into a prime (206993161747) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 64341930 + ... + 64345146.

It is an arithmetic number, because the mean of its divisors is an integer number (1580681600).

Almost surely, 2206993161746 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206993161746, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303490867200).

206993161746 is an abundant number, since it is smaller than the sum of its proper divisors (399988572654).

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

206993161746 is a wasteful number, since it uses less digits than its factorization.

206993161746 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3319 (or 3296 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 206993161746 in words is "two hundred six billion, nine hundred ninety-three million, one hundred sixty-one thousand, seven hundred forty-six".