Search a number
-
+
1338989568 = 2103771877
BaseRepresentation
bin100111111001111…
…0101110000000000
310110022112201101020
41033303311300000
510220240131233
6340511105440
745116136450
oct11763656000
93408481336
101338989568
11627908754
12314512280
13184539927
14c9b8dd60
157c8429b3
hex4fcf5c00

1338989568 has 176 divisors, whose sum is σ = 4140900864. Its totient is φ = 376750080.

The previous prime is 1338989563. The next prime is 1338989569. The reversal of 1338989568 is 8659898331.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

Its product of digits (11197440) is a multiple of the sum of its prime divisors (960).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1338989563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1526346 + ... + 1527222.

Almost surely, 21338989568 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 1338989568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2070450432).

1338989568 is an abundant number, since it is smaller than the sum of its proper divisors (2801911296).

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

1338989568 is an equidigital number, since it uses as much as digits as its factorization.

1338989568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978 (or 960 counting only the distinct ones).

The product of its digits is 11197440, while the sum is 60.

The square root of 1338989568 is about 36592.2063833270. The cubic root of 1338989568 is about 1102.1965936154.

The spelling of 1338989568 in words is "one billion, three hundred thirty-eight million, nine hundred eighty-nine thousand, five hundred sixty-eight".