Search a number
-
+
1387814933568 = 263710757116901
BaseRepresentation
bin10100001100100000001…
…101110101010001000000
311220200012012122021201010
4110030200031311101000
5140214221110333233
62541315310240520
7202160230204020
oct24144015652100
94820165567633
101387814933568
11495629393558
121a4b744b6140
13a0b413163ab
144b2561b5a80
1526178534b63
hex14320375440

1387814933568 has 224 divisors, whose sum is σ = 4243376636928. Its totient is φ = 392101632000.

The previous prime is 1387814933513. The next prime is 1387814933581. The reversal of 1387814933568 is 8653394187831.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 1387814933499 and 1387814933508.

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, 82105918 + ... + 82122818.

Almost surely, 21387814933568 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 1387814933568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2121688318464).

1387814933568 is an abundant number, since it is smaller than the sum of its proper divisors (2855561703360).

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

1387814933568 is a wasteful number, since it uses less digits than its factorization.

1387814933568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17601 (or 17591 counting only the distinct ones).

The product of its digits is 104509440, while the sum is 66.

The spelling of 1387814933568 in words is "one trillion, three hundred eighty-seven billion, eight hundred fourteen million, nine hundred thirty-three thousand, five hundred sixty-eight".