Search a number
-
+
2084997822336 = 273511132389229
BaseRepresentation
bin11110010101110011100…
…011011111011110000000
321101022202002020121100000
4132111303203133132000
5233130033420303321
64233500151200000
7303431122034202
oct36256343373600
97338662217300
102084997822336
11734273a07850
12298105676000
131217cac447c0
1472cb32c0772
1539380122826
hex1e5738df780

2084997822336 has 1536 divisors, whose sum is σ = 7746979968000. Its totient is φ = 549182177280.

The previous prime is 2084997822331. The next prime is 2084997822433. The reversal of 2084997822336 is 6332287994802.

2084997822336 is a `hidden beast` number, since 20 + 8 + 499 + 78 + 2 + 23 + 36 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2084997822331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9104793870 + ... + 9104794098.

It is an arithmetic number, because the mean of its divisors is an integer number (5043606750).

Almost surely, 22084997822336 is an apocalyptic number.

2084997822336 is a gapful number since it is divisible by the number (26) 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 2084997822336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3873489984000).

2084997822336 is an abundant number, since it is smaller than the sum of its proper divisors (5661982145664).

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

2084997822336 is a wasteful number, since it uses less digits than its factorization.

2084997822336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 2084997822336 in words is "two trillion, eighty-four billion, nine hundred ninety-seven million, eight hundred twenty-two thousand, three hundred thirty-six".