Search a number
-
+
2083522600128 = 26323721965357
BaseRepresentation
bin11110010100011011100…
…111111101110011000000
321101011221021100112220110
4132110123213331303000
5233114023241201003
64233053532111320
7303346426614624
oct36243347756300
97334837315813
102083522600128
11733687210542
12297973605540
13121624419558
1472bb33cb184
15392e586ea03
hex1e51b9fdcc0

2083522600128 has 112 divisors (see below), whose sum is σ = 5753218993920. Its totient is φ = 664209368064.

The previous prime is 2083522600127. The next prime is 2083522600193. The reversal of 2083522600128 is 8210062253802.

It is not an unprimeable number, because it can be changed into a prime (2083522600127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31846426 + ... + 31911782.

Almost surely, 22083522600128 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 2083522600128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2876609496960).

2083522600128 is an abundant number, since it is smaller than the sum of its proper divisors (3669696393792).

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

2083522600128 is a wasteful number, since it uses less digits than its factorization.

2083522600128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72614 (or 72604 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The spelling of 2083522600128 in words is "two trillion, eighty-three billion, five hundred twenty-two million, six hundred thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 138 184 192 276 368 552 736 1104 1472 2208 4416 7219 14438 21657 28876 43314 57752 65357 86628 115504 130714 166037 173256 196071 231008 261428 332074 346512 392142 462016 498111 522856 664148 693024 784284 996222 1045712 1328296 1386048 1503211 1568568 1992444 2091424 2656592 3006422 3137136 3984888 4182848 4509633 5313184 6012844 6274272 7969776 9019266 10626368 12025688 12548544 15939552 18038532 24051376 31879104 36077064 48102752 72154128 96205504 144308256 288616512 471812183 943624366 1415436549 1887248732 2830873098 3774497464 5661746196 7548994928 10851680209 11323492392 15097989856 21703360418 22646984784 30195979712 32555040627 43406720836 45293969568 65110081254 86813441672 90587939136 130220162508 173626883344 260440325016 347253766688 520880650032 694507533376 1041761300064 2083522600128