Search a number
-
+
12748646752 = 251934760427
BaseRepresentation
bin10111101111110000…
…01110100101100000
31012220110211100121221
423313320032211200
5202102123144002
65505011424424
7630631465222
oct136770164540
935813740557
1012748646752
115452307aa6
1225795b5114
1312822a737a
1488d21a412
154e9351c37
hex2f7e0e960

12748646752 has 48 divisors (see below), whose sum is σ = 26496469440. Its totient is φ = 6021330048.

The previous prime is 12748646731. The next prime is 12748646753. The reversal of 12748646752 is 25764684721.

It is a self number, because there is not a number n which added to its sum of digits gives 12748646752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12748646753) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 180763 + ... + 241189.

It is an arithmetic number, because the mean of its divisors is an integer number (552009780).

Almost surely, 212748646752 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 12748646752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13248234720).

12748646752 is an abundant number, since it is smaller than the sum of its proper divisors (13747822688).

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

12748646752 is a wasteful number, since it uses less digits than its factorization.

12748646752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60803 (or 60795 counting only the distinct ones).

The product of its digits is 4515840, while the sum is 52.

The spelling of 12748646752 in words is "twelve billion, seven hundred forty-eight million, six hundred forty-six thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 16 19 32 38 76 152 304 347 608 694 1388 2776 5552 6593 11104 13186 26372 52744 60427 105488 120854 210976 241708 483416 966832 1148113 1933664 2296226 4592452 9184904 18369808 20968169 36739616 41936338 83872676 167745352 335490704 398395211 670981408 796790422 1593580844 3187161688 6374323376 12748646752