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105536661334 = 21321718366979
BaseRepresentation
bin110001001001001111…
…0011010011101010110
3101002102000211212202121
41202102132122131112
53212114341130314
6120252144530154
710424203551166
oct1422236323526
9332360755677
10105536661334
114083776a775
121855402095a
139c4b8bb400
1451724dc5a6
152b2a34bd24
hex189279a756

105536661334 has 24 divisors (see below), whose sum is σ = 181502496360. Its totient is φ = 45843977088.

The previous prime is 105536661331. The next prime is 105536661341. The reversal of 105536661334 is 433166635501.

It is a happy number.

105536661334 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1055366613342 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105536661331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9177744 + ... + 9189235.

It is an arithmetic number, because the mean of its divisors is an integer number (7562604015).

Almost surely, 2105536661334 is an apocalyptic number.

105536661334 is a deficient number, since it is larger than the sum of its proper divisors (75965835026).

105536661334 is a wasteful number, since it uses less digits than its factorization.

105536661334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18367024 (or 18367011 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 43.

The spelling of 105536661334 in words is "one hundred five billion, five hundred thirty-six million, six hundred sixty-one thousand, three hundred thirty-four".

Divisors: 1 2 13 17 26 34 169 221 338 442 2873 5746 18366979 36733958 238770727 312238643 477541454 624477286 3104019451 4059102359 6208038902 8118204718 52768330667 105536661334