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11534040544239 = 3221415749104119
BaseRepresentation
bin1010011111010111101001…
…1000111011001111101111
31111211122101010011012121200
42213311322120323033233
53002433203334403424
640310355353500543
72300210164001133
oct247657230731757
944748333135550
1011534040544239
1137476172170a4
12136345aa11753
13658869a82aa5
142bc3716ad3c3
151500609e98c9
hexa7d7a63b3ef

11534040544239 has 24 divisors (see below), whose sum is σ = 16671121740000. Its totient is φ = 7684358189760.

The previous prime is 11534040544207. The next prime is 11534040544309. The reversal of 11534040544239 is 93244504043511.

It is a happy number.

11534040544239 is a `hidden beast` number, since 1 + 1 + 5 + 3 + 4 + 0 + 405 + 4 + 4 + 239 = 666.

It is not a de Polignac number, because 11534040544239 - 25 = 11534040544207 is a prime.

It is a super-2 number, since 2×115340405442392 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11534040544194 and 11534040544203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11534040534239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110725422 + ... + 110829540.

It is an arithmetic number, because the mean of its divisors is an integer number (694630072500).

Almost surely, 211534040544239 is an apocalyptic number.

11534040544239 is a deficient number, since it is larger than the sum of its proper divisors (5137081195761).

11534040544239 is a wasteful number, since it uses less digits than its factorization.

11534040544239 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112015 (or 112012 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 11534040544239 in words is "eleven trillion, five hundred thirty-four billion, forty million, five hundred forty-four thousand, two hundred thirty-nine".

Divisors: 1 3 9 2141 5749 6423 17247 19269 51741 104119 312357 937071 12308609 36925827 110777481 222918779 598580131 668756337 1795740393 2006269011 5387221179 1281560060471 3844680181413 11534040544239