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1468145588 = 227132449691
BaseRepresentation
bin101011110000010…
…0001111110110100
310210022120112010112
41113200201332310
511001321124323
6401403242152
751245013560
oct12740417664
93708515115
101468145588
11693803568
1234b819358
131a521b200
14dcdb06a0
1588d56178
hex57821fb4

1468145588 has 72 divisors (see below), whose sum is σ = 3191227200. Its totient is φ = 578672640.

The previous prime is 1468145587. The next prime is 1468145617. The reversal of 1468145588 is 8855418641.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1468145587) 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, 2124323 + ... + 2125013.

It is an arithmetic number, because the mean of its divisors is an integer number (44322600).

Almost surely, 21468145588 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 1468145588, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1595613600).

1468145588 is an abundant number, since it is smaller than the sum of its proper divisors (1723081612).

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

1468145588 is a wasteful number, since it uses less digits than its factorization.

1468145588 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1177 (or 1162 counting only the distinct ones).

The product of its digits is 1228800, while the sum is 50.

The square root of 1468145588 is about 38316.3879821676. The cubic root of 1468145588 is about 1136.5530404540.

The spelling of 1468145588 in words is "one billion, four hundred sixty-eight million, one hundred forty-five thousand, five hundred eighty-eight".

Divisors: 1 2 4 7 13 14 26 28 52 91 169 182 338 364 449 676 691 898 1183 1382 1796 2366 2764 3143 4732 4837 5837 6286 8983 9674 11674 12572 17966 19348 23348 35932 40859 62881 75881 81718 116779 125762 151762 163436 233558 251524 303524 310259 467116 531167 620518 817453 1062334 1241036 1634906 2124668 2171813 3269812 4033367 4343626 8066734 8687252 16133468 28233569 52433771 56467138 104867542 112934276 209735084 367036397 734072794 1468145588