Search a number
-
+
2119828257369 = 3253291572
BaseRepresentation
bin11110110110001111100…
…111000011101001011001
321111122122110212000212100
4132312033213003221121
5234212402013213434
64301500300234013
7306103214613054
oct36661747035131
97448573760770
102119828257369
11748017873149
122a2a0623b909
13124b8bca9184
147485908ba9b
153a21cd5b699
hex1ed8f9c3a59

2119828257369 has 27 divisors (see below), whose sum is σ = 3121178156733. Its totient is φ = 1386402911712.

The previous prime is 2119828257347. The next prime is 2119828257439. The reversal of 2119828257369 is 9637528289112.

The square root of 2119828257369 is 1455963.

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

2119828257369 is a `hidden beast` number, since 2 + 1 + 19 + 8 + 2 + 8 + 257 + 369 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 71723802969 + 2048104454400 = 267813^2 + 1431120^2 .

It is not a de Polignac number, because 2119828257369 - 29 = 2119828256857 is a prime.

It is a super-2 number, since 2×21198282573692 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2119828257319) 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, 231493539 + ... + 231502695.

Almost surely, 22119828257369 is an apocalyptic number.

2119828257369 is the 1455963-rd square number.

2119828257369 is the 727982-nd centered octagonal number.

It is an amenable number.

2119828257369 is a deficient number, since it is larger than the sum of its proper divisors (1001349899364).

2119828257369 is an frugal number, since it uses more digits than its factorization.

2119828257369 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18426 (or 9213 counting only the distinct ones).

The product of its digits is 26127360, while the sum is 63.

The spelling of 2119828257369 in words is "two trillion, one hundred nineteen billion, eight hundred twenty-eight million, two hundred fifty-seven thousand, three hundred sixty-nine".

Divisors: 1 3 9 53 159 477 2809 8427 9157 25281 27471 82413 485321 1455963 4367889 25722013 77166039 83850649 231498117 251551947 754655841 4444084397 13332253191 39996759573 235536473041 706609419123 2119828257369