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205601646066141 = 3131910118311500371
BaseRepresentation
bin101110101111111001011101…
…000101000011100111011101
3222221222022210012222001201110
4232233321131011003213131
5203422034132343104031
62005140031533132233
761210141312256433
oct5657713505034735
9887868705861643
10205601646066141
115a5691941a9246
121b086b8732a079
138a951c9025080
1438ab25c0d6d53
1518b8285dcbc46
hexbafe5d1439dd

205601646066141 has 64 divisors (see below), whose sum is σ = 314009375016960. Its totient is φ = 118613250720000.

The previous prime is 205601646066097. The next prime is 205601646066191. The reversal of 205601646066141 is 141660646106502.

It is not a de Polignac number, because 205601646066141 - 235 = 205567286327773 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205601646066191) 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 63 ways as a sum of consecutive naturals, for example, 136283686 + ... + 137784056.

It is an arithmetic number, because the mean of its divisors is an integer number (4906396484640).

Almost surely, 2205601646066141 is an apocalyptic number.

It is an amenable number.

205601646066141 is a deficient number, since it is larger than the sum of its proper divisors (108407728950819).

205601646066141 is a wasteful number, since it uses less digits than its factorization.

205601646066141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1502338.

The product of its (nonzero) digits is 1244160, while the sum is 48.

The spelling of 205601646066141 in words is "two hundred five trillion, six hundred one billion, six hundred forty-six million, sixty-six thousand, one hundred forty-one".

Divisors: 1 3 13 19 39 57 101 247 303 741 1313 1831 1919 3939 5493 5757 23803 24947 34789 71409 74841 104367 184931 452257 554793 1356771 1500371 2404103 3513689 4501113 7212309 10541067 19504823 28507049 45677957 58514469 85521147 137033871 151537471 370591637 454612413 1111774911 1969987123 2747179301 2879211949 5909961369 8241537903 8637635847 35713330913 37429755337 52196406719 107139992739 112289266011 156589220157 277465109401 678553287347 832395328203 2035659862041 3607046422213 5271837078619 10821139266639 15815511235857 68533882022047 205601646066141