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2285959539721 = 1121329721092
BaseRepresentation
bin100001010000111101110…
…011100110110000001001
322002112110110011121001211
4201100331303212300021
5244423121120232341
64510053314213121
7324104131326034
oct41207563466011
98075413147054
102285959539721
11801519624500
1230b04b2841a1
13137746588c00
147c8d8dc601b
153e6e2c15181
hex2143dce6c09

2285959539721 has 81 divisors (see below), whose sum is σ = 2774607958143. Its totient is φ = 1881094026240.

The previous prime is 2285959539713. The next prime is 2285959539803. The reversal of 2285959539721 is 1279359595822.

The square root of 2285959539721 is 1511939.

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

It can be written as a sum of positive squares in 13 ways, for example, as 1669106379721 + 616853160000 = 1291939^2 + 785400^2 .

It is not a de Polignac number, because 2285959539721 - 23 = 2285959539713 is a prime.

It is a super-2 number, since 2×22859595397212 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2285959530721) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 20972105815 + ... + 20972105923.

Almost surely, 22285959539721 is an apocalyptic number.

2285959539721 is the 1511939-th square number.

2285959539721 is the 755970-th centered octagonal number.

It is an amenable number.

2285959539721 is a deficient number, since it is larger than the sum of its proper divisors (488648418422).

2285959539721 is an equidigital number, since it uses as much as digits as its factorization.

2285959539721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 230 counting only the distinct ones).

The product of its digits is 122472000, while the sum is 67.

The spelling of 2285959539721 in words is "two trillion, two hundred eighty-five billion, nine hundred fifty-nine million, five hundred thirty-nine thousand, seven hundred twenty-one".

Divisors: 1 11 13 97 109 121 143 169 1067 1199 1261 1417 1573 1859 9409 10573 11737 11881 13189 13871 15587 16393 18421 20449 103499 116303 122317 130691 137449 152581 154453 171457 180323 202631 1025581 1138489 1152457 1279333 1345487 1437601 1511939 1590121 1698983 1786837 1983553 2007889 2228941 11281391 12677027 13332553 14800357 14981941 16631329 17491331 18688813 19655207 22086779 111788329 124095301 139447297 146658083 164801351 173323189 192404641 194765233 216207277 242954569 1229671619 1453248277 1613238913 1812814861 1906555079 2142417563 13526387809 15985731047 18892227601 20972105869 23566593193 175843041517 207814503611 2285959539721