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11534166339456 = 27334786561647
BaseRepresentation
bin1010011111011000000111…
…1000110010111110000000
31111211122200212212021012210
42213312001320302332000
53002433433040330311
640310420050022120
72300213252150055
oct247660170627600
944748625767183
1011534166339456
113747681226992
121363494b77940
13658889b58727
142bc38429702c
1515006ba973a6
hexa7d81e32f80

11534166339456 has 64 divisors (see below), whose sum is σ = 30725922574080. Its totient is φ = 3833642178048.

The previous prime is 11534166339433. The next prime is 11534166339503. The reversal of 11534166339456 is 65493366143511.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 11534166339396 and 11534166339405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43147576 + ... + 43414071.

It is an arithmetic number, because the mean of its divisors is an integer number (480092540220).

Almost surely, 211534166339456 is an apocalyptic number.

11534166339456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11534166339456 is an abundant number, since it is smaller than the sum of its proper divisors (19191756234624).

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

11534166339456 is an equidigital number, since it uses as much as digits as its factorization.

11534166339456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86562011 (or 86561999 counting only the distinct ones).

The product of its digits is 20995200, while the sum is 57.

The spelling of 11534166339456 in words is "eleven trillion, five hundred thirty-four billion, one hundred sixty-six million, three hundred thirty-nine thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 347 384 694 1041 1388 2082 2776 4164 5552 8328 11104 16656 22208 33312 44416 66624 133248 86561647 173123294 259684941 346246588 519369882 692493176 1038739764 1384986352 2077479528 2769972704 4154959056 5539945408 8309918112 11079890816 16619836224 30036891509 33239672448 60073783018 90110674527 120147566036 180221349054 240295132072 360442698108 480590264144 720885396216 961180528288 1441770792432 1922361056576 2883541584864 3844722113152 5767083169728 11534166339456