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86861817685137 = 311172346911435069
BaseRepresentation
bin10011110000000000010111…
…110010011010010010010001
3102101112220112102102002111210
4103300000113302122102101
542341121000311411022
6504423433531330333
724203362550104035
oct2360002762322221
9371486472362453
1086861817685137
1125749987667070
1298aa49abb09a9
13396105a36b4a1
1417641c4b5a1c5
15a0971dcb4a0c
hex4f0017c9a491

86861817685137 has 64 divisors (see below), whose sum is σ = 139622713251840. Its totient is φ = 47382501196800.

The previous prime is 86861817685129. The next prime is 86861817685147. The reversal of 86861817685137 is 73158671816868.

It is not a de Polignac number, because 86861817685137 - 23 = 86861817685129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (86861817685147) 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 63 ways as a sum of consecutive naturals, for example, 59810439 + ... + 61245507.

It is an arithmetic number, because the mean of its divisors is an integer number (2181604894560).

Almost surely, 286861817685137 is an apocalyptic number.

It is an amenable number.

86861817685137 is a deficient number, since it is larger than the sum of its proper divisors (52760895566703).

86861817685137 is a wasteful number, since it uses less digits than its factorization.

86861817685137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1439814.

The product of its digits is 650280960, while the sum is 75.

The spelling of 86861817685137 in words is "eighty-six trillion, eight hundred sixty-one billion, eight hundred seventeen million, six hundred eighty-five thousand, one hundred thirty-seven".

Divisors: 1 3 11 17 23 33 51 69 187 253 391 561 759 1173 4301 4691 12903 14073 51601 79747 107893 154803 239241 323679 877217 1186823 1435069 1834181 2631651 3560469 4305207 5502543 15785759 20175991 24396173 33006587 47357277 60527973 73188519 99019761 268357903 363072457 561111979 805073709 1089217371 1683335937 6172231769 6731908679 18516695307 20195726037 74050995469 114442447543 154833899617 222152986407 343327342629 464501698851 1258866922973 1703172895787 2632176293489 3776600768919 5109518687361 7896528880467 28953939228379 86861817685137