Search a number
-
+
2049696319 = 112611372027
BaseRepresentation
bin111101000101011…
…1110001000111111
312021211212100202111
41322022332020333
513144210240234
6535220034451
7101536063006
oct17212761077
95254770674
102049696319
11962000200
12492532a27
13268857478
14156313c3d
15bee2c664
hex7a2be23f

2049696319 has 24 divisors (see below), whose sum is σ = 2307758544. Its totient is φ = 1818537600.

The previous prime is 2049696293. The next prime is 2049696353. The reversal of 2049696319 is 9136969402.

It is not a de Polignac number, because 2049696319 - 25 = 2049696287 is a prime.

It is a super-2 number, since 2×20496963192 = 8402510000244299522, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2049696379) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1010184 + ... + 1012210.

It is an arithmetic number, because the mean of its divisors is an integer number (96156606).

Almost surely, 22049696319 is an apocalyptic number.

2049696319 is a deficient number, since it is larger than the sum of its proper divisors (258062225).

2049696319 is a wasteful number, since it uses less digits than its factorization.

2049696319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2247 (or 2236 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 49.

The square root of 2049696319 is about 45273.5719708529. The cubic root of 2049696319 is about 1270.2713618166.

The spelling of 2049696319 in words is "two billion, forty-nine million, six hundred ninety-six thousand, three hundred nineteen".

Divisors: 1 11 61 121 137 671 1507 2027 7381 8357 16577 22297 91927 123647 245267 277699 1011197 1360117 3054689 14961287 16939639 33601579 186336029 2049696319