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2811688422481 = 2926728632
BaseRepresentation
bin101000111010100101101…
…100001000110001010001
3100221210110101210222022001
4220322211230020301101
5332031314214004411
65551401040514001
7410065155154411
oct50724554106121
910853411728261
102811688422481
119944808a5374
12394b1091b901
131751aac52b63
149a12d2c8641
154d2124e5dc1
hex28ea5b08c51

2811688422481 has 27 divisors (see below), whose sum is σ = 2959526985051. Its totient is φ = 2671116493584.

The previous prime is 2811688422451. The next prime is 2811688422503. The reversal of 2811688422481 is 1842248861182.

The square root of 2811688422481 is 1676809.

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

2811688422481 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1474381206081 + 1337307216400 = 1214241^2 + 1156420^2 .

It is not a de Polignac number, because 2811688422481 - 219 = 2811687898193 is a prime.

It is a super-2 number, since 2×28116884224812 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2811688422451) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3258039456 + ... + 3258040318.

Almost surely, 22811688422481 is an apocalyptic number.

2811688422481 is the 1676809-th square number.

2811688422481 is the 838405-th centered octagonal number.

It is an amenable number.

2811688422481 is a deficient number, since it is larger than the sum of its proper divisors (147838562570).

2811688422481 is an frugal number, since it uses more digits than its factorization.

2811688422481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1918 (or 959 counting only the distinct ones).

The product of its digits is 3145728, while the sum is 55.

The spelling of 2811688422481 in words is "two trillion, eight hundred eleven billion, six hundred eighty-eight million, four hundred twenty-two thousand, four hundred eighty-one".

Divisors: 1 29 67 841 863 1943 4489 25027 56347 57821 130181 725783 744769 1676809 3775249 3874007 21598301 48627461 49899523 112346203 626350729 1447086167 3258039887 3343268041 41965498843 96954773189 2811688422481