Search a number
-
+
65055100501665 = 3251725002314533
BaseRepresentation
bin11101100101010110100100…
…01001111111111010100001
322112100012120210211010221100
432302223102021333322201
532011330321212023130
6350205522305545013
716463035015302561
oct1662532211777241
9275305523733840
1065055100501665
111980179328304a
127368145645169
132a3b8922cbca1
14120c97dd92da1
1577c374823c60
hex3b2ad227fea1

65055100501665 has 36 divisors (see below), whose sum is σ = 119785423831164. Its totient is φ = 32655109264896.

The previous prime is 65055100501637. The next prime is 65055100501667. The reversal of 65055100501665 is 56610500155056.

65055100501665 is a `hidden beast` number, since 65 + 0 + 5 + 510 + 0 + 5 + 0 + 16 + 65 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 8346112993296 + 56708987508369 = 2888964^2 + 7530537^2 .

It is not a de Polignac number, because 65055100501665 - 210 = 65055100500641 is a prime.

It is a super-2 number, since 2×650551005016652 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 65055100501665.

It is not an unprimeable number, because it can be changed into a prime (65055100501667) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2501144262 + ... + 2501170271.

It is an arithmetic number, because the mean of its divisors is an integer number (3327372884199).

Almost surely, 265055100501665 is an apocalyptic number.

It is an amenable number.

65055100501665 is a deficient number, since it is larger than the sum of its proper divisors (54730323329499).

65055100501665 is a wasteful number, since it uses less digits than its factorization.

65055100501665 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5002314578 (or 5002314558 counting only the distinct ones).

The product of its (nonzero) digits is 675000, while the sum is 45.

The spelling of 65055100501665 in words is "sixty-five trillion, fifty-five billion, one hundred million, five hundred one thousand, six hundred sixty-five".

Divisors: 1 3 5 9 15 17 45 51 85 153 255 289 765 867 1445 2601 4335 13005 5002314533 15006943599 25011572665 45020830797 75034717995 85039347061 225104153985 255118041183 425196735305 765354123549 1275590205915 1445668900037 3826770617745 4337006700111 7228344500185 13011020100333 21685033500555 65055100501665