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11085926017392 = 24331511583107357
BaseRepresentation
bin1010000101010010010010…
…1011101010100101110000
31110020210201020121121221000
42201110210223222211300
52423112434030024032
635324445404202000
72222634403241502
oct241244453524560
943223636547830
1011085926017392
113594573255626
1212b063a239300
136255241c0425
142a47c1381d72
15143585049e7c
hexa1524aea970

11085926017392 has 160 divisors (see below), whose sum is σ = 32051979970560. Its totient is φ = 3668483347200.

The previous prime is 11085926017381. The next prime is 11085926017399. The reversal of 11085926017392 is 29371062958011.

It is a happy number.

11085926017392 is a `hidden beast` number, since 1 + 1 + 0 + 8 + 592 + 6 + 0 + 17 + 39 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11085926017399) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103208578 + ... + 103315934.

It is an arithmetic number, because the mean of its divisors is an integer number (200324874816).

Almost surely, 211085926017392 is an apocalyptic number.

11085926017392 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11085926017392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16025989985280).

11085926017392 is an abundant number, since it is smaller than the sum of its proper divisors (20966053953168).

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

11085926017392 is a wasteful number, since it uses less digits than its factorization.

11085926017392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109108 (or 109096 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 11085926017392 in words is "eleven trillion, eighty-five billion, nine hundred twenty-six million, seventeen thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 151 216 302 432 453 604 906 1208 1359 1583 1812 2416 2718 3166 3624 4077 4749 5436 6332 7248 8154 9498 10872 12664 14247 16308 18996 21744 25328 28494 32616 37992 42741 56988 65232 75984 85482 107357 113976 170964 214714 227952 239033 322071 341928 429428 478066 644142 683856 717099 858856 956132 966213 1288284 1434198 1717712 1912264 1932426 2151297 2576568 2868396 2898639 3824528 3864852 4302594 5153136 5736792 5797278 6453891 7729704 8605188 11473584 11594556 12907782 15459408 16210907 17210376 23189112 25815564 32421814 34420752 46378224 48632721 51631128 64843628 97265442 103262256 129687256 145898163 169946131 194530884 259374512 291796326 339892262 389061768 437694489 509838393 583592652 679784524 778123536 875388978 1019676786 1167185304 1359569048 1529515179 1750777956 2039353572 2334370608 2719138096 3059030358 3501555912 4078707144 4588545537 6118060716 7003111824 8157414288 9177091074 12236121432 18354182148 24472242864 25661865781 36708364296 51323731562 73416728592 76985597343 102647463124 153971194686 205294926248 230956792029 307942389372 410589852496 461913584058 615884778744 692870376087 923827168116 1231769557488 1385740752174 1847654336232 2771481504348 3695308672464 5542963008696 11085926017392