Search a number
-
+
12789752948 = 22719227105907
BaseRepresentation
bin10111110100101010…
…00010010001110100
31020000100011202201122
423322111002101310
5202143134043243
65513040443112
7631641051320
oct137225022164
936010152648
1012789752948
115473533765
12258b319498
13128a96a56b
1489487a980
154ecc71668
hex2fa542474

12789752948 has 48 divisors (see below), whose sum is σ = 27044666880. Its totient is φ = 5169907296.

The previous prime is 12789752939. The next prime is 12789752951. The reversal of 12789752948 is 84925798721.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67811 + ... + 173717.

It is an arithmetic number, because the mean of its divisors is an integer number (563430560).

Almost surely, 212789752948 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 12789752948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13522333440).

12789752948 is an abundant number, since it is smaller than the sum of its proper divisors (14254913932).

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

12789752948 is a wasteful number, since it uses less digits than its factorization.

12789752948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106164 (or 106162 counting only the distinct ones).

The product of its digits is 20321280, while the sum is 62.

The spelling of 12789752948 in words is "twelve billion, seven hundred eighty-nine million, seven hundred fifty-two thousand, nine hundred forty-eight".

Divisors: 1 2 4 7 14 19 28 38 76 133 227 266 454 532 908 1589 3178 4313 6356 8626 17252 30191 60382 105907 120764 211814 423628 741349 1482698 2012233 2965396 4024466 8048932 14085631 24040889 28171262 48081778 56342524 96163556 168286223 336572446 456776891 673144892 913553782 1827107564 3197438237 6394876474 12789752948