Search a number
-
+
111032415244864 = 26233256532
BaseRepresentation
bin11001001111101110111111…
…101010110101001001000000
3112120010121001220222021001201
4121033232333222311021000
5104023123341300313424
61032051330513310544
732246553520353631
oct3117567752651100
9476117056867051
10111032415244864
1132418645884353
12105529ab265454
1349c5409127959
141d5bdd749d888
15cc831bb3ad44
hex64fbbfab5240

111032415244864 has 63 divisors (see below), whose sum is σ = 221318780240523. Its totient is φ = 55268162122752.

The previous prime is 111032415244853. The next prime is 111032415244867. The reversal of 111032415244864 is 468442514230111.

The square root of 111032415244864 is 10537192.

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

111032415244864 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 4 ways, for example, as 28490739264 + 111003924505600 = 168792^2 + 10535840^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (111032415244867) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 19641323062 + ... + 19641328714.

Almost surely, 2111032415244864 is an apocalyptic number.

111032415244864 is the 10537192-nd square number.

It is an amenable number.

111032415244864 is a deficient number, since it is larger than the sum of its proper divisors (110286364995659).

111032415244864 is an frugal number, since it uses more digits than its factorization.

111032415244864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11784 (or 5888 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 46.

Adding to 111032415244864 its reverse (468442514230111), we get a palindrome (579474929474975).

The spelling of 111032415244864 in words is "one hundred eleven trillion, thirty-two billion, four hundred fifteen million, two hundred forty-four thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 233 466 932 1864 3728 5653 7456 11306 14912 22612 45224 54289 90448 108578 180896 217156 361792 434312 868624 1317149 1737248 2634298 3474496 5268596 10537192 21074384 31956409 42148768 63912818 84297536 127825636 255651272 306895717 511302544 613791434 1022605088 1227582868 2045210176 2455165736 4910331472 7445843297 9820662944 14891686594 19641325888 29783373188 59566746376 119133492752 238266985504 476533971008 1734881488201 3469762976402 6939525952804 13879051905608 27758103811216 55516207622432 111032415244864