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86391811341 = 321119127361643
BaseRepresentation
bin101000001110101011…
…0100110110100001101
322020222210102201210100
41100131112212310031
52403412300430331
6103404324201313
76145604165043
oct1203526466415
9266883381710
1086391811341
1133702a1a5a0
12148b0539239
1381ba435bc4
144277a1a393
1523a96edae6
hex141d5a6d0d

86391811341 has 48 divisors (see below), whose sum is σ = 144426147840. Its totient is φ = 49212243360.

The previous prime is 86391811327. The next prime is 86391811357. The reversal of 86391811341 is 14311819368.

86391811341 is a `hidden beast` number, since 8 + 639 + 1 + 8 + 1 + 1 + 3 + 4 + 1 = 666.

It is not a de Polignac number, because 86391811341 - 26 = 86391811277 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86391818341) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58066 + ... + 419708.

It is an arithmetic number, because the mean of its divisors is an integer number (3008878080).

Almost surely, 286391811341 is an apocalyptic number.

It is an amenable number.

86391811341 is a deficient number, since it is larger than the sum of its proper divisors (58034336499).

86391811341 is a wasteful number, since it uses less digits than its factorization.

86391811341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361806 (or 361803 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The spelling of 86391811341 in words is "eighty-six billion, three hundred ninety-one million, eight hundred eleven thousand, three hundred forty-one".

Divisors: 1 3 9 11 19 33 57 99 127 171 209 381 627 1143 1397 1881 2413 4191 7239 12573 21717 26543 79629 238887 361643 1084929 3254787 3978073 6871217 11934219 20613651 35802657 45928661 61840953 75583387 137785983 226750161 413357949 505215271 680250483 872644559 1515645813 2617933677 4546937439 7853801031 9599090149 28797270447 86391811341