Search a number
-
+
2049318831384 = 23321117163933787
BaseRepresentation
bin11101110100100100111…
…010111100010100011000
321020220122112221001220200
4131310210322330110120
5232034001110101014
64205235530422200
7301026013440336
oct35644472742430
97226575831820
102049318831384
11720125066870
12291208891960
1311b333159236
147128a948b56
1538492b6ea09
hex1dd24ebc518

2049318831384 has 192 divisors, whose sum is σ = 6450308691840. Its totient is φ = 580889594880.

The previous prime is 2049318831311. The next prime is 2049318831403. The reversal of 2049318831384 is 4831388139402.

It is a happy number.

2049318831384 is a `hidden beast` number, since 2 + 0 + 4 + 9 + 318 + 8 + 313 + 8 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2049318831384.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1727739 + ... + 2661525.

It is an arithmetic number, because the mean of its divisors is an integer number (33595357770).

Almost surely, 22049318831384 is an apocalyptic number.

2049318831384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2049318831384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3225154345920).

2049318831384 is an abundant number, since it is smaller than the sum of its proper divisors (4400989860456).

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

2049318831384 is a wasteful number, since it uses less digits than its factorization.

2049318831384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933990 (or 933983 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 2049318831384 in words is "two trillion, forty-nine billion, three hundred eighteen million, eight hundred thirty-one thousand, three hundred eighty-four".