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2822494942080 = 27325112172111129
BaseRepresentation
bin101001000100101001110…
…011101111001110000000
3100222211100112012001022200
4221010221303233032000
5332220432201121310
610000345234033200
7410630025105432
oct51045163571600
910884315161280
102822494942080
119990168a3500
12397027a18800
13176210a66858
149a8765d2652
154d6460b79c0
hex29129cef380

2822494942080 has 1152 divisors, whose sum is σ = 11407047069600. Its totient is φ = 640371916800.

The previous prime is 2822494941949. The next prime is 2822494942081. The reversal of 2822494942080 is 802494942282.

2822494942080 is a `hidden beast` number, since 2 + 82 + 24 + 9 + 49 + 420 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2822494942081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2499994956 + ... + 2499996084.

Almost surely, 22822494942080 is an apocalyptic number.

2822494942080 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 2822494942080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5703523534800).

2822494942080 is an abundant number, since it is smaller than the sum of its proper divisors (8584552127520).

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

2822494942080 is a wasteful number, since it uses less digits than its factorization.

2822494942080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1404 (or 1378 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 2822494942080 in words is "two trillion, eight hundred twenty-two billion, four hundred ninety-four million, nine hundred forty-two thousand, eighty".