Search a number
-
+
2648489752188 = 2234723156732401
BaseRepresentation
bin100110100010100110010…
…010100111011001111100
3100101012012210201112120000
4212202212102213121330
5321343101334032223
65344411022554300
7362230021310010
oct46424622473174
910335183645500
102648489752188
11931244467945
12369365a38990
131629a00c1a27
149228aa54540
1548d5ed1e543
hex268a64a767c

2648489752188 has 240 divisors, whose sum is σ = 8262329585664. Its totient is φ = 723326630400.

The previous prime is 2648489752171. The next prime is 2648489752193. The reversal of 2648489752188 is 8812579848462.

2648489752188 is a `hidden beast` number, since 2 + 6 + 4 + 8 + 4 + 8 + 97 + 521 + 8 + 8 = 666.

2648489752188 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 81724788 + ... + 81757188.

Almost surely, 22648489752188 is an apocalyptic number.

2648489752188 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2648489752188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4131164792832).

2648489752188 is an abundant number, since it is smaller than the sum of its proper divisors (5613839833476).

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

2648489752188 is a wasteful number, since it uses less digits than its factorization.

2648489752188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34014 (or 34003 counting only the distinct ones).

The product of its digits is 495452160, while the sum is 72.

The spelling of 2648489752188 in words is "two trillion, six hundred forty-eight billion, four hundred eighty-nine million, seven hundred fifty-two thousand, one hundred eighty-eight".