Search a number
-
+
6431459268 = 22313231102301
BaseRepresentation
bin1011111110101100…
…00100011111000100
3121121012220222112010
411333112010133010
5101132423144033
62542104254220
7315243334053
oct57726043704
917535828463
106431459268
1128004335a3
1212b5a71370
137b65a3600
1445024239a
15279962863
hex17f5847c4

6431459268 has 72 divisors (see below), whose sum is σ = 16774254336. Its totient is φ = 1915056000.

The previous prime is 6431459257. The next prime is 6431459269. The reversal of 6431459268 is 8629541346.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6431459269) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11718 + ... + 114018.

Almost surely, 26431459268 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 6431459268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8387127168).

6431459268 is an abundant number, since it is smaller than the sum of its proper divisors (10342795068).

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

6431459268 is a wasteful number, since it uses less digits than its factorization.

6431459268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102365 (or 102350 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 48.

The square root of 6431459268 is about 80196.3793945836. The cubic root of 6431459268 is about 1859.6726664117.

The spelling of 6431459268 in words is "six billion, four hundred thirty-one million, four hundred fifty-nine thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 12 13 26 31 39 52 62 78 93 124 156 169 186 338 372 403 507 676 806 1014 1209 1612 2028 2418 4836 5239 10478 15717 20956 31434 62868 102301 204602 306903 409204 613806 1227612 1329913 2659826 3171331 3989739 5319652 6342662 7979478 9513993 12685324 15958956 17288869 19027986 34577738 38055972 41227303 51866607 69155476 82454606 103733214 123681909 164909212 207466428 247363818 494727636 535954939 1071909878 1607864817 2143819756 3215729634 6431459268