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11482542427104 = 253371898568523
BaseRepresentation
bin1010011100010111110011…
…0111001100101111100000
31111122201110010100210122000
42213011330313030233200
53001112221330131404
640231001314244000
72263405051142010
oct247057467145740
944581403323560
1011482542427104
11372779a93a511
121355488286600
13653a5082cb28
142b9a88009c40
1514da4987d339
hexa717cdccbe0

11482542427104 has 96 divisors (see below), whose sum is σ = 38275141443840. Its totient is φ = 3280726406016.

The previous prime is 11482542427099. The next prime is 11482542427151. The reversal of 11482542427104 is 40172424528411.

11482542427104 is a `hidden beast` number, since 1 + 1 + 4 + 82 + 5 + 42 + 427 + 104 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 11482542427104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 949278214 + ... + 949290309.

It is an arithmetic number, because the mean of its divisors is an integer number (398699390040).

Almost surely, 211482542427104 is an apocalyptic number.

11482542427104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11482542427104 is an abundant number, since it is smaller than the sum of its proper divisors (26792599016736).

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

11482542427104 is a wasteful number, since it uses less digits than its factorization.

11482542427104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1898568549 (or 1898568535 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 45.

The spelling of 11482542427104 in words is "eleven trillion, four hundred eighty-two billion, five hundred forty-two million, four hundred twenty-seven thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 432 504 672 756 864 1008 1512 2016 3024 6048 1898568523 3797137046 5695705569 7594274092 11391411138 13289979661 15188548184 17087116707 22782822276 26579959322 30377096368 34174233414 39869938983 45565644552 51261350121 53159918644 60754192736 68348466828 79739877966 91131289104 102522700242 106319837288 119609816949 136696933656 159479755932 182262578208 205045400484 212639674576 239219633898 273393867312 318959511864 358829450847 410090800968 425279349152 478439267796 546787734624 637919023728 717658901694 820181601936 956878535592 1275838047456 1435317803388 1640363203872 1913757071184 2870635606776 3827514142368 5741271213552 11482542427104