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2841328269376 = 2623291612
BaseRepresentation
bin101001010110001100010…
…111001011100001000000
3101001121222001102012111021
4221112030113023201000
5333023020014110001
610013142125355224
7412164522541252
oct51261427134100
911047861365437
102841328269376
119a600080a003
1239a803108b14
13177c228185bc
149b741981cd2
154dd996ccba1
hex2958c5cb840

2841328269376 has 63 divisors (see below), whose sum is σ = 5894704352173. Its totient is φ = 1358747793920.

The previous prime is 2841328269347. The next prime is 2841328269401. The reversal of 2841328269376 is 6739628231482.

The square root of 2841328269376 is 1685624.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 947071526976 + 1894256742400 = 973176^2 + 1376320^2 .

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 310150236 + ... + 310159396.

Almost surely, 22841328269376 is an apocalyptic number.

2841328269376 is the 1685624-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2841328269376

2841328269376 is an abundant number, since it is smaller than the sum of its proper divisors (3053376082797).

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

2841328269376 is an frugal number, since it uses more digits than its factorization.

2841328269376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18380 (or 9186 counting only the distinct ones).

The product of its digits is 41803776, while the sum is 61.

The spelling of 2841328269376 in words is "two trillion, eight hundred forty-one billion, three hundred twenty-eight million, two hundred sixty-nine thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 23 32 46 64 92 184 368 529 736 1058 1472 2116 4232 8464 9161 16928 18322 33856 36644 73288 146576 210703 293152 421406 586304 842812 1685624 3371248 4846169 6742496 9692338 13484992 19384676 38769352 77538704 83923921 155077408 167847842 310154816 335695684 671391368 1342782736 1930250183 2685565472 3860500366 5371130944 7721000732 15442001464 30884002928 44395754209 61768005856 88791508418 123536011712 177583016836 355166033672 710332067344 1420664134688 2841328269376