Search a number
-
+
2819040690840 = 2335112135636887
BaseRepresentation
bin101001000001011011111…
…010110100001010011000
3100222111102210101220102120
4221001123322310022120
5332141343404101330
65555014401301240
7410445312336213
oct51013372641230
910874383356376
102819040690840
11997603a83410
12396423034820
13175ab02275ca
149a62994277a
154d4e2be5c10
hex2905beb4298

2819040690840 has 64 divisors (see below), whose sum is σ = 9225951356160. Its totient is φ = 683403803520.

The previous prime is 2819040690833. The next prime is 2819040690889. The reversal of 2819040690840 is 480960409182.

It is a super-2 number, since 2×28190406908402 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1067817124 + ... + 1067819763.

It is an arithmetic number, because the mean of its divisors is an integer number (144155489940).

Almost surely, 22819040690840 is an apocalyptic number.

2819040690840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2819040690840 is an abundant number, since it is smaller than the sum of its proper divisors (6406910665320).

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

2819040690840 is a wasteful number, since it uses less digits than its factorization.

2819040690840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2135636912 (or 2135636908 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 51.

The spelling of 2819040690840 in words is "two trillion, eight hundred nineteen billion, forty million, six hundred ninety thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 2135636887 4271273774 6406910661 8542547548 10678184435 12813821322 17085095096 21356368870 23492005757 25627642644 32034553305 42712737740 46984011514 51255285288 64069106610 70476017271 85425475480 93968023028 117460028785 128138213220 140952034542 187936046056 234920057570 256276426440 281904069084 352380086355 469840115140 563808138168 704760172710 939680230280 1409520345420 2819040690840