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86143829317 = 72132924012
BaseRepresentation
bin101000000111010010…
…0101000010101000101
322020100111210221101221
41100032210220111011
52402410310014232
6103323545120341
76136503316300
oct1201644502505
9266314727357
1086143829317
1133595a44a77
12148414890b1
13817ac4bb90
144252b07b37
152392a67897
hex140e928545

86143829317 has 54 divisors (see below), whose sum is σ = 112045434774. Its totient is φ = 65643379200.

The previous prime is 86143829279. The next prime is 86143829333. The reversal of 86143829317 is 71392834168.

It can be written as a sum of positive squares in 9 ways, for example, as 1272991041 + 84870838276 = 35679^2 + 291326^2 .

It is not a de Polignac number, because 86143829317 - 215 = 86143796549 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86143839317) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 214822317 + ... + 214822717.

Almost surely, 286143829317 is an apocalyptic number.

It is an amenable number.

86143829317 is a deficient number, since it is larger than the sum of its proper divisors (25901605457).

86143829317 is an equidigital number, since it uses as much as digits as its factorization.

86143829317 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 887 (or 450 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 52.

Multiplying 86143829317 by its sum of digits (52), we get a square (4479479124484 = 21164782).

The spelling of 86143829317 in words is "eighty-six billion, one hundred forty-three million, eight hundred twenty-nine thousand, three hundred seventeen".

Divisors: 1 7 13 29 49 91 203 377 401 637 841 1421 2639 2807 5213 5887 10933 11629 18473 19649 36491 41209 76531 81403 151177 160801 255437 337241 535717 569821 1058239 1125607 2090413 2360687 4384133 4663229 7407673 7879249 14632891 16524809 30688931 32642603 60621977 102430237 135233641 214822517 228498221 424353839 946635487 1758037333 2970476873 6626448409 12306261331 86143829317