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81986466468918 = 23114737370858433
BaseRepresentation
bin10010101001000011110110…
…001101011101010000110110
3101202021211101210222021002010
4102221003312031131100312
541221231240404001133
6450212021315025050
723161220032400514
oct2251036615352066
9352254353867063
1081986466468918
112413a2a0a367a0
12924163989b186
1336993a162c51b
141636247cb54b4
159729c9726263
hex4a90f635d436

81986466468918 has 64 divisors (see below), whose sum is σ = 183175287432192. Its totient is φ = 24250589767680.

The previous prime is 81986466468911. The next prime is 81986466468941.

81986466468918 is nontrivially palindromic in base 10.

81986466468918 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81986466468911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34272171 + ... + 36586262.

It is an arithmetic number, because the mean of its divisors is an integer number (2862113866128).

Almost surely, 281986466468918 is an apocalyptic number.

81986466468918 is an abundant number, since it is smaller than the sum of its proper divisors (101188820963274).

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

81986466468918 is a wasteful number, since it uses less digits than its factorization.

81986466468918 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70858869.

The product of its digits is 6879707136, while the sum is 84.

The spelling of 81986466468918 in words is "eighty-one trillion, nine hundred eighty-six billion, four hundred sixty-six million, four hundred sixty-eight thousand, nine hundred eighteen".

Divisors: 1 2 3 6 11 22 33 47 66 94 141 282 373 517 746 1034 1119 1551 2238 3102 4103 8206 12309 17531 24618 35062 52593 105186 192841 385682 578523 1157046 70858433 141716866 212575299 425150598 779442763 1558885526 2338328289 3330346351 4676656578 6660692702 9991039053 19982078106 26430195509 36633809861 52860391018 73267619722 79290586527 109901429583 158581173054 219802859166 290732150599 581464301198 872196451797 1242219188923 1744392903594 2484438377846 3726657566769 7453315133538 13664411078153 27328822156306 40993233234459 81986466468918