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206403417304751 = 1289206519775361
BaseRepresentation
bin101110111011100100001010…
…010111100110111010101111
31000001210222022001000001022002
4232323210022113212322233
5204023203144312223001
62010552230525242515
761322104044326432
oct5673441227467257
91001728261001262
10206403417304751
115a84821a1627a7
121b196446a0343b
138b229b2c31514
1438d7d9b7a9819
1518ce05e94546b
hexbbb90a5e6eaf

206403417304751 has 8 divisors (see below), whose sum is σ = 206564810709600. Its totient is φ = 206242025866240.

The previous prime is 206403417304727. The next prime is 206403417304753. The reversal of 206403417304751 is 157403714304602.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-206403417304751 is a prime.

It is a super-2 number, since 2×2064034173047512 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 206403417304696 and 206403417304705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206403417304753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 265815311 + ... + 266590671.

It is an arithmetic number, because the mean of its divisors is an integer number (25820601338700).

Almost surely, 2206403417304751 is an apocalyptic number.

206403417304751 is a deficient number, since it is larger than the sum of its proper divisors (161393404849).

206403417304751 is a wasteful number, since it uses less digits than its factorization.

206403417304751 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 983169.

The product of its (nonzero) digits is 1693440, while the sum is 47.

The spelling of 206403417304751 in words is "two hundred six trillion, four hundred three billion, four hundred seventeen million, three hundred four thousand, seven hundred fifty-one".

Divisors: 1 1289 206519 775361 266202991 999440329 160126778359 206403417304751