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2318048512 = 28131395011
BaseRepresentation
bin1000101000101010…
…1001110100000000
312222112211001202121
42022022221310000
514221410023022
61022003454024
7111305041633
oct21212516400
95875731677
102318048512
11a8a52917a
12548387314
132ac324250
1417dc09c1a
15d87892c7
hex8a2a9d00

2318048512 has 72 divisors (see below), whose sum is σ = 5019818720. Its totient is φ = 1061959680.

The previous prime is 2318048477. The next prime is 2318048533. The reversal of 2318048512 is 2158408132.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 460087 + ... + 465097.

Almost surely, 22318048512 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 2318048512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2509909360).

2318048512 is an abundant number, since it is smaller than the sum of its proper divisors (2701770208).

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

2318048512 is a wasteful number, since it uses less digits than its factorization.

2318048512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5179 (or 5165 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 34.

The square root of 2318048512 is about 48146.1162712009. The cubic root of 2318048512 is about 1323.4499042805.

The spelling of 2318048512 in words is "two billion, three hundred eighteen million, forty-eight thousand, five hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 139 208 256 278 416 556 832 1112 1664 1807 2224 3328 3614 4448 5011 7228 8896 10022 14456 17792 20044 28912 35584 40088 57824 65143 80176 115648 130286 160352 231296 260572 320704 462592 521144 641408 696529 1042288 1282816 1393058 2084576 2786116 4169152 5572232 8338304 9054877 11144464 16676608 18109754 22288928 36219508 44577856 72439016 89155712 144878032 178311424 289756064 579512128 1159024256 2318048512