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2286116784081 = 34132129232
BaseRepresentation
bin100001010001000111001…
…011011100011111010001
322002112212102001102210000
4201101013023130133101
5244423431344042311
64510121052400213
7324111051020304
oct41210713343721
98075772042700
102286116784081
1180159a364519
1230b093a76069
13137770023300
147c911c38b3b
153e701926056
hex214472dc7d1

2286116784081 has 45 divisors (see below), whose sum is σ = 3698254175979. Its totient is φ = 1406732234544.

The previous prime is 2286116784059. The next prime is 2286116784097. The reversal of 2286116784081 is 1804876116822.

The square root of 2286116784081 is 1511991.

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

2286116784081 is a `hidden beast` number, since 228 + 6 + 1 + 1 + 6 + 7 + 8 + 408 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 338182956225 + 1947933827856 = 581535^2 + 1395684^2 .

It is not a de Polignac number, because 2286116784081 - 221 = 2286114686929 is a prime.

It is a super-2 number, since 2×22861167840812 (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2286116784001) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 176896486 + ... + 176909408.

Almost surely, 22286116784081 is an apocalyptic number.

2286116784081 is the 1511991-st square number.

2286116784081 is the 755996-th centered octagonal number.

It is an amenable number.

2286116784081 is a deficient number, since it is larger than the sum of its proper divisors (1412137391898).

2286116784081 is an frugal number, since it uses more digits than its factorization.

2286116784081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25884 (or 12939 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The spelling of 2286116784081 in words is "two trillion, two hundred eighty-six billion, one hundred sixteen million, seven hundred eighty-four thousand, eighty-one".

Divisors: 1 3 9 13 27 39 81 117 169 351 507 1053 1521 4563 12923 13689 38769 116307 167999 348921 503997 1046763 1511991 2183987 4535973 6551961 13607919 19655883 58967649 167003929 176902947 501011787 1503035361 2171051077 4509106083 6513153231 13527318249 19539459693 28223664001 58618379079 84670992003 175855137237 254012976009 762038928027 2286116784081