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1085999006448 = 24336823368443
BaseRepresentation
bin11111100110110101001…
…01011100001011110000
310211211011010201121021000
433303122211130023300
5120243111221201243
62150522343402000
7141314032150236
oct17633245341360
93754133647230
101085999006448
1138962a144344
12156582a53300
137b54220c0c5
143a7c3c12956
151d3b17235d3
hexfcda95c2f0

1085999006448 has 80 divisors (see below), whose sum is σ = 3117684701440. Its totient is φ = 361945630656.

The previous prime is 1085999006441. The next prime is 1085999006453. The reversal of 1085999006448 is 8446009995801.

1085999006448 is a `hidden beast` number, since 10 + 8 + 5 + 99 + 90 + 0 + 6 + 448 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1085999006441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2763315 + ... + 3131757.

It is an arithmetic number, because the mean of its divisors is an integer number (38971058768).

Almost surely, 21085999006448 is an apocalyptic number.

1085999006448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1085999006448 is an abundant number, since it is smaller than the sum of its proper divisors (2031685694992).

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

1085999006448 is a wasteful number, since it uses less digits than its factorization.

1085999006448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375283 (or 375271 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 63.

The spelling of 1085999006448 in words is "one trillion, eighty-five billion, nine hundred ninety-nine million, six thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 6823 13646 20469 27292 40938 54584 61407 81876 109168 122814 163752 184221 245628 327504 368442 368443 491256 736884 736886 982512 1105329 1473768 1473772 2210658 2947536 2947544 3315987 4421316 5895088 6631974 8842632 9947961 13263948 17685264 19895922 26527896 39791844 53055792 79583688 159167376 2513886589 5027773178 7541659767 10055546356 15083319534 20111092712 22624979301 30166639068 40222185424 45249958602 60333278136 67874937903 90499917204 120666556272 135749875806 180999834408 271499751612 361999668816 542999503224 1085999006448