Search a number
-
+
2640313269 = 321193728463
BaseRepresentation
bin1001110101011111…
…1111101110110101
320211000012210220100
42131113333232311
520401410011034
61113555024313
7122300202216
oct23527775665
96730183810
102640313269
11113542a490
1261829b099
13331019259
141b093740d
15106be5099
hex9d5ffbb5

2640313269 has 24 divisors (see below), whose sum is σ = 4165080192. Its totient is φ = 1598425920.

The previous prime is 2640313177. The next prime is 2640313289. The reversal of 2640313269 is 9623130462.

2640313269 is a `hidden beast` number, since 2 + 640 + 3 + 1 + 3 + 2 + 6 + 9 = 666.

It is not a de Polignac number, because 2640313269 - 27 = 2640313141 is a prime.

It is a super-2 number, since 2×26403132692 = 13942508316914932722, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2640313289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78532 + ... + 106994.

It is an arithmetic number, because the mean of its divisors is an integer number (173545008).

Almost surely, 22640313269 is an apocalyptic number.

It is an amenable number.

2640313269 is a deficient number, since it is larger than the sum of its proper divisors (1524766923).

2640313269 is a wasteful number, since it uses less digits than its factorization.

2640313269 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29417 (or 29414 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 2640313269 is about 51383.9787190521. The cubic root of 2640313269 is about 1382.1393110465.

The spelling of 2640313269 in words is "two billion, six hundred forty million, three hundred thirteen thousand, two hundred sixty-nine".

Divisors: 1 3 9 11 33 99 937 2811 8433 10307 28463 30921 85389 92763 256167 313093 939279 2817837 26669831 80009493 240028479 293368141 880104423 2640313269