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2812724128448 = 26138813837319
BaseRepresentation
bin101000111011100011011…
…011000010101011000000
3100221220010120200021210022
4220323203123002223000
5332040424334102243
65552051515353012
7410132632420343
oct50734333025300
910856116607708
102812724128448
11994962496613
1239515b752768
131753146b2220
149a1caa8c45a
154d2733cbb68
hex28ee36c2ac0

2812724128448 has 56 divisors (see below), whose sum is σ = 6017669874720. Its totient is φ = 1296706498560.

The previous prime is 2812724128433. The next prime is 2812724128451. The reversal of 2812724128448 is 8448214272182.

It is a super-2 number, since 2×28127241284482 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2812724128448.

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 7 ways as a sum of consecutive naturals, for example, 1185668 + ... + 2651651.

It is an arithmetic number, because the mean of its divisors is an integer number (107458390620).

Almost surely, 22812724128448 is an apocalyptic number.

It is an amenable number.

2812724128448 is an abundant number, since it is smaller than the sum of its proper divisors (3204945746272).

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

2812724128448 is a wasteful number, since it uses less digits than its factorization.

2812724128448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3838225 (or 3838215 counting only the distinct ones).

The product of its digits is 3670016, while the sum is 53.

The spelling of 2812724128448 in words is "two trillion, eight hundred twelve billion, seven hundred twenty-four million, one hundred twenty-eight thousand, four hundred forty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 881 1762 3524 7048 11453 14096 22906 28192 45812 56384 91624 183248 366496 732992 3837319 7674638 15349276 30698552 49885147 61397104 99770294 122794208 199540588 245588416 399081176 798162352 1596324704 3192649408 3380678039 6761356078 13522712156 27045424312 43948814507 54090848624 87897629014 108181697248 175795258028 216363394496 351590516056 703181032112 1406362064224 2812724128448