Search a number
-
+
12382666851648 = 2631753109165609
BaseRepresentation
bin1011010000110001000001…
…1101011000010101000000
31121211202211100021022020210
42310030100131120111000
53110334200203223043
642200304004434120
72415422012412222
oct264142035302500
947752740238223
1012382666851648
113a44506693305
12147ba160a8940
136ba8b0001a12
1430b477b40412
1516717cc86633
hexb4310758540

12382666851648 has 224 divisors, whose sum is σ = 35377134549120. Its totient is φ = 3807909314560.

The previous prime is 12382666851623. The next prime is 12382666851671. The reversal of 12382666851648 is 84615866628321.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 188701468 + ... + 188767076.

It is an arithmetic number, because the mean of its divisors is an integer number (157933636380).

Almost surely, 212382666851648 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 12382666851648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17688567274560).

12382666851648 is an abundant number, since it is smaller than the sum of its proper divisors (22994467697472).

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

12382666851648 is a wasteful number, since it uses less digits than its factorization.

12382666851648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66785 (or 66775 counting only the distinct ones).

The product of its digits is 159252480, while the sum is 66.

The spelling of 12382666851648 in words is "twelve trillion, three hundred eighty-two billion, six hundred sixty-six million, eight hundred fifty-one thousand, six hundred forty-eight".