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105411244455 = 33511233086261
BaseRepresentation
bin110001000101011111…
…1111111000110100111
3101002002021212001011000
41202022333333012213
53211340234310310
6120231504444343
710421121536256
oct1421277770647
9332067761130
10105411244455
1140782999160
121851a0196b3
139c2b918a3a
14515d9b279d
152b1e3264c0
hex188afff1a7

105411244455 has 64 divisors (see below), whose sum is σ = 213322429440. Its totient is φ = 48886358400.

The previous prime is 105411244381. The next prime is 105411244457. The reversal of 105411244455 is 554442114501.

105411244455 is a `hidden beast` number, since 1 + 0 + 54 + 112 + 44 + 455 = 666.

It is not a de Polignac number, because 105411244455 - 211 = 105411242407 is a prime.

It is a super-2 number, since 2×1054112444552 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105411244457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1508976 + ... + 1577285.

It is an arithmetic number, because the mean of its divisors is an integer number (3333162960).

Almost surely, 2105411244455 is an apocalyptic number.

105411244455 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105411244455 is an abundant number, since it is smaller than the sum of its proper divisors (107911184985).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105411244455 is a wasteful number, since it uses less digits than its factorization.

105411244455 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3086309 (or 3086303 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 36.

Adding to 105411244455 its reverse (554442114501), we get a palindrome (659853358956).

It can be divided in two parts, 105411 and 244455, that added together give a triangular number (349866 = T836).

The spelling of 105411244455 in words is "one hundred five billion, four hundred eleven million, two hundred forty-four thousand, four hundred fifty-five".

Divisors: 1 3 5 9 11 15 23 27 33 45 55 69 99 115 135 165 207 253 297 345 495 621 759 1035 1265 1485 2277 3105 3795 6831 11385 34155 3086261 9258783 15431305 27776349 33948871 46293915 70984003 83329047 101846613 138881745 169744355 212952009 305539839 354920015 416645235 509233065 638856027 780824033 916619517 1064760045 1527699195 1916568081 2342472099 3194280135 3904120165 4583097585 7027416297 9582840405 11712360495 21082248891 35137081485 105411244455