Search a number
-
+
2794128784384 = 21072206326993
BaseRepresentation
bin101000101010001111000…
…011011011110000000000
3100220010010122020221020111
4220222033003123300000
5331234333432100014
65535334404521104
7405604054540300
oct50521703336000
910803118227214
102794128784384
11987a8a946373
123916300b0194
13173640026362
149934516b600
154ca35b252c4
hex28a8f0dbc00

2794128784384 has 132 divisors (see below), whose sum is σ = 6500842359264. Its totient is φ = 1196858966016.

The previous prime is 2794128784361. The next prime is 2794128784387. The reversal of 2794128784384 is 4834878214972.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2794128784387) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 103499592 + ... + 103526584.

It is an arithmetic number, because the mean of its divisors is an integer number (49248805752).

Almost surely, 22794128784384 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 2794128784384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3250421179632).

2794128784384 is an abundant number, since it is smaller than the sum of its proper divisors (3706713574880).

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

2794128784384 is a wasteful number, since it uses less digits than its factorization.

2794128784384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29090 (or 29065 counting only the distinct ones).

The product of its digits is 173408256, while the sum is 67.

The spelling of 2794128784384 in words is "two trillion, seven hundred ninety-four billion, one hundred twenty-eight million, seven hundred eighty-four thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 512 784 896 1024 1568 1792 2063 3136 3584 4126 6272 7168 8252 12544 14441 16504 25088 26993 28882 33008 50176 53986 57764 66016 101087 107972 115528 132032 188951 202174 215944 231056 264064 377902 404348 431888 462112 528128 755804 808696 863776 924224 1056256 1322657 1511608 1617392 1727552 1848448 2112512 2645314 3023216 3234784 3455104 3696896 5290628 6046432 6469568 6910208 7393792 10581256 12092864 12939136 13820416 14787584 21162512 24185728 25878272 27640832 42325024 48371456 51756544 55686559 84650048 96742912 103513088 111373118 169300096 193485824 222746236 338600192 389805913 445492472 677200384 779611826 890984944 1354400768 1559223652 1781969888 2728641391 3118447304 3563939776 5457282782 6236894608 7127879552 10914565564 12473789216 14255759104 21829131128 24947578432 28511518208 43658262256 49895156864 57023036416 87316524512 99790313728 174633049024 199580627456 349266098048 399161254912 698532196096 1397064392192 2794128784384