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11385151875702 = 23211253947104149
BaseRepresentation
bin1010010110101100111111…
…1011101110101001110110
31111022102001210212011220200
42211223033323232221312
52443013242340010302
640114133324541330
72253356451126243
oct245531773565166
944272053764820
1011385151875702
11369a463472800
12133a6283b1846
136477cc820c17
142b508976a5ca
1514b24978d81c
hexa5acfeeea76

11385151875702 has 144 divisors (see below), whose sum is σ = 27655251951600. Its totient is φ = 3381343954560.

The previous prime is 11385151875631. The next prime is 11385151875733. The reversal of 11385151875702 is 20757815158311.

11385151875702 is a `hidden beast` number, since 1 + 1 + 3 + 8 + 51 + 5 + 18 + 7 + 570 + 2 = 666.

It is a super-3 number, since 3×113851518757023 (a number of 40 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 109263924 + ... + 109368072.

It is an arithmetic number, because the mean of its divisors is an integer number (192050360775).

Almost surely, 211385151875702 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11385151875702, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13827625975800).

11385151875702 is an abundant number, since it is smaller than the sum of its proper divisors (16270100075898).

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

11385151875702 is a wasteful number, since it uses less digits than its factorization.

11385151875702 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105179 (or 105165 counting only the distinct ones).

The product of its (nonzero) digits is 2352000, while the sum is 54.

The spelling of 11385151875702 in words is "eleven trillion, three hundred eighty-five billion, one hundred fifty-one million, eight hundred seventy-five thousand, seven hundred two".

Divisors: 1 2 3 6 9 11 18 22 33 53 66 99 106 121 159 198 242 318 363 477 583 726 947 954 1089 1166 1749 1894 2178 2841 3498 5247 5682 6413 8523 10417 10494 12826 17046 19239 20834 31251 38478 50191 57717 62502 93753 100382 104149 114587 115434 150573 187506 208298 229174 301146 312447 343761 451719 552101 624894 687522 903438 937341 1031283 1104202 1145639 1656303 1874682 2062566 2291278 3312606 3436917 4968909 5519897 6073111 6873834 9937818 10310751 11039794 12146222 12602029 16559691 18219333 20621502 25204058 33119382 36438666 37806087 49679073 54657999 60718867 75612174 98629103 99358146 109315998 113418261 121437734 182156601 197258206 226836522 295887309 364313202 546469803 591774618 667907537 887661927 1084920133 1092939606 1335815074 1775323854 2003722611 2169840266 3254760399 4007445222 5227342459 6011167833 6509520798 9764281197 10454684918 11934121463 12022335666 15682027377 19528562394 23868242926 31364054754 35802364389 47046082131 57500767049 71604728778 94092164262 107407093167 115001534098 172502301147 214814186334 345004602294 517506903441 632508437539 1035013806882 1265016875078 1897525312617 3795050625234 5692575937851 11385151875702