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86193326569 = 72419412
BaseRepresentation
bin101000001000110000…
…1011100100111101001
322020110221221122212111
41100101201130213221
52403010442422234
6103332514042321
76140644121200
oct1202141344751
9266427848774
1086193326569
1133610981a99
1214855b793a1
13818828c4ac
144259510237
152397093664
hex141185c9e9

86193326569 has 9 divisors (see below), whose sum is σ = 100268097111. Its totient is φ = 73878232680.

The previous prime is 86193326563. The next prime is 86193326599. The reversal of 86193326569 is 96562339168.

The square root of 86193326569 is 293587.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1477402969 + 84715923600 = 38437^2 + 291060^2 .

It is not a de Polignac number, because 86193326569 - 211 = 86193324521 is a prime.

It is a super-2 number, since 2×861933265692 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (86193326563) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2034139 + ... + 2076079.

It is an arithmetic number, because the mean of its divisors is an integer number (11140899679).

Almost surely, 286193326569 is an apocalyptic number.

86193326569 is the 293587-th square number.

86193326569 is the 146794-th centered octagonal number.

It is an amenable number.

86193326569 is a deficient number, since it is larger than the sum of its proper divisors (14074770542).

86193326569 is an frugal number, since it uses more digits than its factorization.

86193326569 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83896 (or 41948 counting only the distinct ones).

The product of its digits is 12597120, while the sum is 58.

The spelling of 86193326569 in words is "eighty-six billion, one hundred ninety-three million, three hundred twenty-six thousand, five hundred sixty-nine".

Divisors: 1 7 49 41941 293587 2055109 1759047481 12313332367 86193326569