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206146600742241 = 32119831191145679
BaseRepresentation
bin101110110111110100111110…
…111010001010110101100001
31000000220102102001022221022200
4232313310332322022311201
5204010001214242222431
62010234235131123413
761264412640503535
oct5667647672126541
91000812361287280
10206146600742241
115a759311985215
121b1547135a3569
138b047058750b3
1438c979794bbc5
1518c752d498ee6
hexbb7d3ee8ad61

206146600742241 has 12 divisors (see below), whose sum is σ = 297769798634880. Its totient is φ = 137429919568440.

The previous prime is 206146600742191. The next prime is 206146600742323. The reversal of 206146600742241 is 142247006641602.

It is a happy number.

206146600742241 is a `hidden beast` number, since 2 + 0 + 6 + 14 + 6 + 600 + 7 + 4 + 2 + 24 + 1 = 666.

It is not a de Polignac number, because 206146600742241 - 211 = 206146600740193 is a prime.

It is a super-2 number, since 2×2061466007422412 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (206146600742941) 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 11 ways as a sum of consecutive naturals, for example, 94494361 + ... + 96651318.

It is an arithmetic number, because the mean of its divisors is an integer number (24814149886240).

Almost surely, 2206146600742241 is an apocalyptic number.

It is an amenable number.

206146600742241 is a deficient number, since it is larger than the sum of its proper divisors (91623197892639).

206146600742241 is a wasteful number, since it uses less digits than its factorization.

206146600742241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191265516 (or 191265513 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 206146600742241 in words is "two hundred six trillion, one hundred forty-six billion, six hundred million, seven hundred forty-two thousand, two hundred forty-one".

Divisors: 1 3 9 119831 359493 1078479 191145679 573437037 1720311111 22905177860249 68715533580747 206146600742241