Search a number
-
+
6265494591409 = 17273220172
BaseRepresentation
bin101101100101100110010…
…0101000101011110110001
3211011222100002110012120101
41123023030211011132301
51310123213103411114
621154154541312401
71214444540206624
oct133131445053661
924158302405511
106265494591409
111aa61aa3a0549
12852365565701
13365aab578071
141793743addbb
15acea7211d74
hex5b2cc9457b1

6265494591409 has 27 divisors (see below), whose sum is σ = 6751503697347. Its totient is φ = 5813272571904.

The previous prime is 6265494591371. The next prime is 6265494591437. The reversal of 6265494591409 is 9041954945626.

The square root of 6265494591409 is 2503097.

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

It can be written as a sum of positive squares in 13 ways, for example, as 10133442225 + 6255361149184 = 100665^2 + 2501072^2 .

It is a de Polignac number, because none of the positive numbers 2k-6265494591409 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6265494591469) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3106342369 + ... + 3106344385.

Almost surely, 26265494591409 is an apocalyptic number.

6265494591409 is the 2503097-th square number.

6265494591409 is the 1251549-th centered octagonal number.

It is an amenable number.

6265494591409 is a deficient number, since it is larger than the sum of its proper divisors (486009105938).

6265494591409 is an frugal number, since it uses more digits than its factorization.

6265494591409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4214 (or 2107 counting only the distinct ones).

The product of its (nonzero) digits is 83980800, while the sum is 64.

Multiplying 6265494591409 by its sum of digits (64), we get a square (400991653850176 = 200247762).

The spelling of 6265494591409 in words is "six trillion, two hundred sixty-five billion, four hundred ninety-four million, five hundred ninety-one thousand, four hundred nine".

Divisors: 1 17 73 289 1241 2017 5329 21097 34289 90593 147241 582913 1540081 2503097 4068289 10748593 42552649 69160913 182726081 296985097 1175735521 3106343377 5048746649 21679912081 85828693033 368558505377 6265494591409