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86533705349 = 7134764731271
BaseRepresentation
bin101000010010111001…
…1111000111010000101
322021100200102200202222
41100211303320322011
52404210112032344
6103430353342125
76152246234150
oct1204563707205
9267320380688
1086533705349
1133776025673
121492bb67945
138210957360
14428c7d4c97
1523b6dcb5ee
hex1425cf8e85

86533705349 has 32 divisors (see below), whose sum is σ = 108940640256. Its totient is φ = 66903791040.

The previous prime is 86533705333. The next prime is 86533705351. The reversal of 86533705349 is 94350733568.

It is a cyclic number.

It is not a de Polignac number, because 86533705349 - 24 = 86533705333 is a prime.

It is a super-2 number, since 2×865337053492 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (53) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 86533705349.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86533705399) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2751584 + ... + 2782854.

It is an arithmetic number, because the mean of its divisors is an integer number (3404395008).

Almost surely, 286533705349 is an apocalyptic number.

It is an amenable number.

86533705349 is a deficient number, since it is larger than the sum of its proper divisors (22406934907).

86533705349 is a wasteful number, since it uses less digits than its factorization.

86533705349 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31985.

The product of its (nonzero) digits is 8164800, while the sum is 53.

The spelling of 86533705349 in words is "eighty-six billion, five hundred thirty-three million, seven hundred five thousand, three hundred forty-nine".

Divisors: 1 7 13 47 91 329 611 647 4277 4529 8411 30409 31271 58877 212863 218897 395317 406523 1469737 2767219 2845661 10288159 19106581 20232337 133746067 141626359 263020381 950919839 1841142667 6656438873 12361957907 86533705349