Search a number
-
+
2105154411840 = 263754336947
BaseRepresentation
bin11110101000100100111…
…110110001110101000000
321110020202211102110000000
4132220210332301311000
5233442324012134330
64251032233000000
7305043455154234
oct36504476616500
97406684373000
102105154411840
11741877869887
1229bbabb53000
13123690bb773c
1473c662c85c4
1539b5e9c0560
hex1ea24fb1d40

2105154411840 has 448 divisors, whose sum is σ = 7536650123520. Its totient is φ = 559997411328.

The previous prime is 2105154411713. The next prime is 2105154411851. The reversal of 2105154411840 is 481144515012.

2105154411840 is a `hidden beast` number, since 2 + 10 + 5 + 154 + 411 + 84 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2105154411795 and 2105154411804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 303027247 + ... + 303034193.

It is an arithmetic number, because the mean of its divisors is an integer number (16822879740).

Almost surely, 22105154411840 is an apocalyptic number.

2105154411840 is a gapful number since it is divisible by the number (20) 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 2105154411840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3768325061760).

2105154411840 is an abundant number, since it is smaller than the sum of its proper divisors (5431495711680).

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

2105154411840 is an frugal number, since it uses more digits than its factorization.

2105154411840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7418 (or 7390 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

Adding to 2105154411840 its reverse (481144515012), we get a palindrome (2586298926852).

The spelling of 2105154411840 in words is "two trillion, one hundred five billion, one hundred fifty-four million, four hundred eleven thousand, eight hundred forty".