Search a number
-
+
206146312165302 = 234313714893916883
BaseRepresentation
bin101110110111110100101101…
…101101010101011110110110
31000000220101122221022201011220
4232313310231231111132312
5204010000121403242202
62010234150342011210
761264402534601415
oct5667645555253666
91000811587281156
10206146312165302
115a759183aa3083
121b154652a16b06
138b0468ab46802
1438c976b4ad47c
1518c7512e94abc
hexbb7d2db557b6

206146312165302 has 64 divisors (see below), whose sum is σ = 425245755306240. Its totient is φ = 66582732432384.

The previous prime is 206146312165247. The next prime is 206146312165309. The reversal of 206146312165302 is 203561213641602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206146312165309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50671753 + ... + 54588635.

It is an arithmetic number, because the mean of its divisors is an integer number (6644464926660).

Almost surely, 2206146312165302 is an apocalyptic number.

206146312165302 is an abundant number, since it is smaller than the sum of its proper divisors (219099443140938).

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

206146312165302 is a wasteful number, since it uses less digits than its factorization.

206146312165302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3918557.

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 206146312165302 in words is "two hundred six trillion, one hundred forty-six billion, three hundred twelve million, one hundred sixty-five thousand, three hundred two".

Divisors: 1 2 3 6 43 86 129 137 258 274 411 822 1489 2978 4467 5891 8934 11782 17673 35346 64027 128054 192081 203993 384162 407986 611979 1223958 3916883 7833766 8771699 11750649 17543398 23501298 26315097 52630194 168425969 336851938 505277907 536612971 1010555814 1073225942 1609838913 3219677826 5832238787 11664477574 17496716361 23074357753 34993432722 46148715506 69223073259 138446146518 250786267841 501572535682 752358803523 799016713819 1504717607046 1598033427638 2397050141457 4794100282914 34357718694217 68715437388434 103073156082651 206146312165302