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11267148530055 = 3511891315856913
BaseRepresentation
bin1010001111110101011001…
…1000101100000110000111
31110220010110221202010021110
42203331112120230012013
52434100110010430210
635544020115420103
72242011305212455
oct243752630540607
943803427663243
1011267148530055
11365440967a650
12131b7952b4633
136396451ac142
142ad49368b9d5
1514813ec39420
hexa3f5662c187

11267148530055 has 64 divisors (see below), whose sum is σ = 20039079836160. Its totient is φ = 5360245862400.

The previous prime is 11267148530023. The next prime is 11267148530059. The reversal of 11267148530055 is 55003584176211.

11267148530055 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11267148530055 - 25 = 11267148530023 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11267148529986 and 11267148530013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11267148530059) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1004722 + ... + 4852191.

It is an arithmetic number, because the mean of its divisors is an integer number (313110622440).

Almost surely, 211267148530055 is an apocalyptic number.

11267148530055 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11267148530055 is a deficient number, since it is larger than the sum of its proper divisors (8771931306105).

11267148530055 is a wasteful number, since it uses less digits than its factorization.

11267148530055 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5857152.

The product of its (nonzero) digits is 1008000, while the sum is 48.

The spelling of 11267148530055 in words is "eleven trillion, two hundred sixty-seven billion, one hundred forty-eight million, five hundred thirty thousand, fifty-five".

Divisors: 1 3 5 11 15 33 55 89 131 165 267 393 445 655 979 1335 1441 1965 2937 4323 4895 7205 11659 14685 21615 34977 58295 128249 174885 384747 641245 1923735 5856913 17570739 29284565 64426043 87853695 193278129 322130215 521265257 767255603 966390645 1563795771 2301766809 2606326285 3836278015 5733917827 7818978855 8439811633 11508834045 17201753481 25319434899 28669589135 42199058165 68285748667 86008767405 126597174495 204857246001 341428743335 751143235337 1024286230005 2253429706011 3755716176685 11267148530055