Search a number
-
+
5755150068 = 2232397227947
BaseRepresentation
bin1010101110000100…
…01001111011110100
3112212002022220201020
411113002021323310
543241304300233
62351024501140
7262421653113
oct52702117364
915762286636
105755150068
1124936a5478
12114747a7b0
1370943a555
143c84b3c7a
1523a3be9b3
hex157089ef4

5755150068 has 96 divisors (see below), whose sum is σ = 14234379264. Its totient is φ = 1806148608.

The previous prime is 5755150039. The next prime is 5755150069. The reversal of 5755150068 is 8600515575.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5755150069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6076771 + ... + 6077717.

It is an arithmetic number, because the mean of its divisors is an integer number (148274784).

Almost surely, 25755150068 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5755150068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7117189632).

5755150068 is an abundant number, since it is smaller than the sum of its proper divisors (8479229196).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5755150068 is a wasteful number, since it uses less digits than its factorization.

5755150068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1301 (or 1299 counting only the distinct ones).

The product of its (nonzero) digits is 210000, while the sum is 42.

The square root of 5755150068 is about 75862.7053828164. The cubic root of 5755150068 is about 1792.0586437315.

The spelling of 5755150068 in words is "five billion, seven hundred fifty-five million, one hundred fifty thousand, sixty-eight".

Divisors: 1 2 3 4 6 12 23 46 69 92 97 138 194 227 276 291 388 454 582 681 908 947 1164 1362 1894 2231 2724 2841 3788 4462 5221 5682 6693 8924 10442 11364 13386 15663 20884 21781 22019 26772 31326 43562 44038 62652 65343 66057 87124 88076 91859 130686 132114 183718 214969 261372 264228 275577 367436 429938 506437 551154 644907 859876 1012874 1102308 1289814 1519311 2025748 2112757 2579628 3038622 4225514 4944287 6077244 6338271 8451028 9888574 12676542 14832861 19777148 20851993 25353084 29665722 41703986 59331444 62555979 83407972 125111958 250223916 479595839 959191678 1438787517 1918383356 2877575034 5755150068