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2812806912 = 28310933601
BaseRepresentation
bin1010011110101000…
…0000011100000000
321021000210101200210
42213222000130000
521230034310122
61143040114120
7126463315146
oct24752003400
97230711623
102812806912
111213835513
12666005940
1335a9925b6
141c97d9596
15116e1940c
hexa7a80700

2812806912 has 72 divisors (see below), whose sum is σ = 7555073680. Its totient is φ = 928972800.

The previous prime is 2812806907. The next prime is 2812806943. The reversal of 2812806912 is 2196082182.

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, 66912 + ... + 100512.

Almost surely, 22812806912 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 2812806912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3777536840).

2812806912 is an abundant number, since it is smaller than the sum of its proper divisors (4742266768).

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

2812806912 is a wasteful number, since it uses less digits than its factorization.

2812806912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33729 (or 33715 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 2812806912 is about 53035.9021041407. The cubic root of 2812806912 is about 1411.6053863873.

The spelling of 2812806912 in words is "two billion, eight hundred twelve million, eight hundred six thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 109 128 192 218 256 327 384 436 654 768 872 1308 1744 2616 3488 5232 6976 10464 13952 20928 27904 33601 41856 67202 83712 100803 134404 201606 268808 403212 537616 806424 1075232 1612848 2150464 3225696 3662509 4300928 6451392 7325018 8601856 10987527 12902784 14650036 21975054 25805568 29300072 43950108 58600144 87900216 117200288 175800432 234400576 351600864 468801152 703201728 937602304 1406403456 2812806912