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206769967602 = 2311101136722691
BaseRepresentation
bin1100000010010001110…
…0110101000111110010
3201202201011011200011020
43000210130311013302
511341431102430402
6234553330000310
720636644503612
oct3004434650762
9652634150136
10206769967602
117a766290050
12340a6a16096
1316662a84173
14a01727ca42
1555a29a08bc
hex30247351f2

206769967602 has 64 divisors (see below), whose sum is σ = 455954531328. Its totient is φ = 61989080000.

The previous prime is 206769967597. The next prime is 206769967631.

206769967602 is nontrivially palindromic in base 10.

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 31 ways as a sum of consecutive naturals, for example, 9101077 + ... + 9123767.

It is an arithmetic number, because the mean of its divisors is an integer number (7124289552).

Almost surely, 2206769967602 is an apocalyptic number.

206769967602 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 206769967602, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227977265664).

206769967602 is an abundant number, since it is smaller than the sum of its proper divisors (249184563726).

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

206769967602 is a wasteful number, since it uses less digits than its factorization.

206769967602 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24175.

The product of its (nonzero) digits is 20575296, while the sum is 60.

The spelling of 206769967602 in words is "two hundred six billion, seven hundred sixty-nine million, nine hundred sixty-seven thousand, six hundred two".

Divisors: 1 2 3 6 11 22 33 66 101 202 303 606 1111 1367 2222 2734 3333 4101 6666 8202 15037 22691 30074 45111 45382 68073 90222 136146 138067 249601 276134 414201 499202 748803 828402 1497606 1518737 2291791 3037474 4556211 4583582 6875373 9112422 13750746 25209701 31018597 50419402 62037194 75629103 93055791 151258206 186111582 341204567 682409134 1023613701 2047227402 3132878297 6265756594 9398634891 18797269782 34461661267 68923322534 103384983801 206769967602