Search a number
-
+
82665177011285 = 5112636172147801
BaseRepresentation
bin10010110010111011111100…
…100000101101010001010101
3101211200201021022121011020012
4102302323330200231101111
541313341240303330120
6451451505201250005
723261235101665451
oct2262737440552125
9354621238534205
1082665177011285
1124381117389800
129331094633905
1337183a620824b
14165b031959661
1598549e7561c5
hex4b2efc82d455

82665177011285 has 24 divisors (see below), whose sum is σ = 109037816373528. Its totient is φ = 60119155712000.

The previous prime is 82665177011213. The next prime is 82665177011309. The reversal of 82665177011285 is 58211077156628.

It can be written as a sum of positive squares in 4 ways, for example, as 3833764 + 82665173177521 = 1958^2 + 9092039^2 .

It is not a de Polignac number, because 82665177011285 - 226 = 82665109902421 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37414385 + ... + 39562185.

It is an arithmetic number, because the mean of its divisors is an integer number (4543242348897).

Almost surely, 282665177011285 is an apocalyptic number.

It is an amenable number.

82665177011285 is a deficient number, since it is larger than the sum of its proper divisors (26372639362243).

82665177011285 is a wasteful number, since it uses less digits than its factorization.

82665177011285 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2211445 (or 2211434 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 59.

The spelling of 82665177011285 in words is "eighty-two trillion, six hundred sixty-five billion, one hundred seventy-seven million, eleven thousand, two hundred eighty-five".

Divisors: 1 5 11 55 121 605 63617 318085 699787 2147801 3498935 7697657 10739005 23625811 38488285 118129055 259883921 1299419605 136636656217 683183281085 1503003218387 7515016091935 16533035402257 82665177011285