Search a number
-
+
2380482183168 = 215351931549
BaseRepresentation
bin100010101000111111110…
…010111000000000000000
322102120102220012101200000
4202220333302320000000
5303000211414330133
65021324534400000
7333661365462015
oct42507762700000
98376386171600
102380482183168
11838614151551
1232542a800000
1314362b38236b
148330480570c
1541dc6154413
hex22a3fcb8000

2380482183168 has 384 divisors, whose sum is σ = 7173120318000. Its totient is φ = 788873084928.

The previous prime is 2380482183113. The next prime is 2380482183179. The reversal of 2380482183168 is 8613812840832.

2380482183168 is a `hidden beast` number, since 2 + 3 + 80 + 482 + 1 + 83 + 1 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1536785658 + ... + 1536787206.

Almost surely, 22380482183168 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 2380482183168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3586560159000).

2380482183168 is an abundant number, since it is smaller than the sum of its proper divisors (4792638134832).

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

2380482183168 is an frugal number, since it uses more digits than its factorization.

2380482183168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1787 (or 1747 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 2380482183168 in words is "two trillion, three hundred eighty billion, four hundred eighty-two million, one hundred eighty-three thousand, one hundred sixty-eight".