Search a number
-
+
1348044436648 = 2372131931449117
BaseRepresentation
bin10011100111011101101…
…101011011010010101000
311202212112112102201020201
4103213131231123102220
5134041243333433043
62511141050401544
7166251540436300
oct23473555332250
94685475381221
101348044436648
1147a77aa39588
121993154302b4
139a17397ab90
14493622aa600
15250ebc83c4d
hex139ddb5b4a8

1348044436648 has 192 divisors, whose sum is σ = 3440603174400. Its totient is φ = 488925642240.

The previous prime is 1348044436637. The next prime is 1348044436649. The reversal of 1348044436648 is 8466344408431.

It is not an unprimeable number, because it can be changed into a prime (1348044436649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2776986 + ... + 3226102.

It is an arithmetic number, because the mean of its divisors is an integer number (17919808200).

Almost surely, 21348044436648 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 1348044436648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1720301587200).

1348044436648 is an abundant number, since it is smaller than the sum of its proper divisors (2092558737752).

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

1348044436648 is a wasteful number, since it uses less digits than its factorization.

1348044436648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449200 (or 449189 counting only the distinct ones).

The product of its (nonzero) digits is 21233664, while the sum is 55.

The spelling of 1348044436648 in words is "one trillion, three hundred forty-eight billion, forty-four million, four hundred thirty-six thousand, six hundred forty-eight".