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1085266785393 = 3274312711812671
BaseRepresentation
bin11111100101011101111…
…00001111010001110001
310211202021002220220210200
433302232330033101301
5120240111244113033
62150321545345413
7141256631320050
oct17625674172161
93752232826720
101085266785393
1138929389787a
121563b9798269
137b4565caacb
143a75488c397
151d36c2d9013
hexfcaef0f471

1085266785393 has 96 divisors (see below), whose sum is σ = 1849907085312. Its totient is φ = 600227107200.

The previous prime is 1085266785311. The next prime is 1085266785431. The reversal of 1085266785393 is 3935876625801.

1085266785393 is a `hidden beast` number, since 1 + 0 + 8 + 5 + 26 + 6 + 78 + 539 + 3 = 666.

It is not a de Polignac number, because 1085266785393 - 28 = 1085266785137 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 1085266785393.

It is not an unprimeable number, because it can be changed into a prime (1085266785193) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 406313448 + ... + 406316118.

It is an arithmetic number, because the mean of its divisors is an integer number (19269865472).

Almost surely, 21085266785393 is an apocalyptic number.

It is an amenable number.

1085266785393 is a deficient number, since it is larger than the sum of its proper divisors (764640299919).

1085266785393 is a wasteful number, since it uses less digits than its factorization.

1085266785393 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4035 (or 4032 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 1085266785393 in words is "one trillion, eighty-five billion, two hundred sixty-six million, seven hundred eighty-five thousand, three hundred ninety-three".

Divisors: 1 3 7 9 21 43 63 127 129 301 381 387 889 903 1143 1181 2667 2671 2709 3543 5461 8001 8013 8267 10629 16383 18697 24039 24801 38227 49149 50783 56091 74403 114681 114853 149987 152349 168273 339217 344043 344559 355481 449961 457047 803971 1017651 1033677 1049909 1066443 1349883 2374519 2411913 3052953 3149727 3154451 3199329 6449441 7123557 7235739 9449181 9463353 14586331 19348323 21370671 22081157 28390059 43758993 45146087 58044969 66243471 102104317 131276979 135438261 135641393 198730413 306312951 400615277 406314783 406924179 918938853 949489751 1201845831 1220772537 2804306939 2848469253 3605537493 8412920817 8545407759 17226456911 25238762451 51679370733 120585198377 155038112199 361755595131 1085266785393