Search a number
-
+
11924541895249 = 172192106912
BaseRepresentation
bin1010110110000110011000…
…0101010111001001010001
31120012222022211100012210001
42231201212011113021101
53030332430211121444
641210020421010001
72340343156502014
oct255414605271121
946188284305701
1011924541895249
113888196033965
121407080b53901
1368663053c969
142d321813737b
1515a2b85688d4
hexad866157251

11924541895249 has 27 divisors (see below), whose sum is σ = 13370284071291. Its totient is φ = 10631414352960.

The previous prime is 11924541895171. The next prime is 11924541895307. The reversal of 11924541895249 is 94259814542911.

The square root of 11924541895249 is 3453193.

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

It can be written as a sum of positive squares in only one way, i.e., 9283812894225 + 2640729001024 = 3046935^2 + 1625032^2 .

It is not a de Polignac number, because 11924541895249 - 221 = 11924539798097 is a prime.

It is a super-2 number, since 2×119245418952492 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11924541895949) 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, 1115375994 + ... + 1115386684.

Almost surely, 211924541895249 is an apocalyptic number.

11924541895249 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

11924541895249 is the 3453193-rd square number.

11924541895249 is the 1726597-th centered octagonal number.

It is an amenable number.

11924541895249 is a deficient number, since it is larger than the sum of its proper divisors (1445742176042).

11924541895249 is an frugal number, since it uses more digits than its factorization.

11924541895249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21454 (or 10727 counting only the distinct ones).

The product of its digits is 37324800, while the sum is 64.

Multiplying 11924541895249 by its sum of digits (64), we get a square (763170681295936 = 276255442).

The spelling of 11924541895249 in words is "eleven trillion, nine hundred twenty-four billion, five hundred forty-one million, eight hundred ninety-five thousand, two hundred forty-nine".

Divisors: 1 17 19 289 323 361 5491 6137 10691 104329 181747 203129 3089699 3453193 3859451 58704281 65610667 114297481 1115381339 1943057177 2171652139 33031972009 36918086363 41261390641 627607468171 701443640897 11924541895249