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2129273344 = 2911735179
BaseRepresentation
bin111111011101010…
…0010001000000000
312111101121021220201
41332322202020000
513330043221334
6551141414544
7103523345002
oct17672421000
95441537821
102129273344
119a2a12640
124b510a454
1327c19a173
14162b0a372
15c6deac14
hex7eea2200

2129273344 has 80 divisors (see below), whose sum is σ = 4705636320. Its totient is φ = 954408960.

The previous prime is 2129273309. The next prime is 2129273387. The reversal of 2129273344 is 4433729212.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 408547 + ... + 413725.

It is an arithmetic number, because the mean of its divisors is an integer number (58820454).

Almost surely, 22129273344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2129273344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2352818160).

2129273344 is an abundant number, since it is smaller than the sum of its proper divisors (2576362976).

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

2129273344 is an equidigital number, since it uses as much as digits as its factorization.

2129273344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5281 (or 5265 counting only the distinct ones).

The product of its digits is 72576, while the sum is 37.

The square root of 2129273344 is about 46144.0499306249. The cubic root of 2129273344 is about 1286.5020199115.

The spelling of 2129273344 in words is "two billion, one hundred twenty-nine million, two hundred seventy-three thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 73 88 128 146 176 256 292 352 512 584 704 803 1168 1408 1606 2336 2816 3212 4672 5179 5632 6424 9344 10358 12848 18688 20716 25696 37376 41432 51392 56969 82864 102784 113938 165728 205568 227876 331456 378067 411136 455752 662912 756134 911504 1325824 1512268 1823008 2651648 3024536 3646016 4158737 6049072 7292032 8317474 12098144 14584064 16634948 24196288 29168128 33269896 48392576 66539792 96785152 133079584 193570304 266159168 532318336 1064636672 2129273344