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11284141885965 = 32513593071064933
BaseRepresentation
bin1010010000110100101101…
…0001001100101000001101
31110221202100020202001012200
42210031023101030220031
52434334410310322330
635555510242152113
72243152361312244
oct244151321145015
943852306661180
1011284141885965
113660639a10443
121322b38352639
1363b1229b7320
142b022651b95b
151487d6a4ca60
hexa434b44ca0d

11284141885965 has 96 divisors (see below), whose sum is σ = 21490538509440. Its totient is φ = 5443318983168.

The previous prime is 11284141885909. The next prime is 11284141885967. The reversal of 11284141885965 is 56958814148211.

11284141885965 is a `hidden beast` number, since 1 + 1 + 2 + 84 + 1 + 418 + 85 + 9 + 65 = 666.

It is not a de Polignac number, because 11284141885965 - 27 = 11284141885837 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11284141885967) 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, 10063639 + ... + 11128571.

It is an arithmetic number, because the mean of its divisors is an integer number (223859776140).

Almost surely, 211284141885965 is an apocalyptic number.

11284141885965 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11284141885965 is a deficient number, since it is larger than the sum of its proper divisors (10206396623475).

11284141885965 is a wasteful number, since it uses less digits than its factorization.

11284141885965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1065323 (or 1065320 counting only the distinct ones).

The product of its digits is 22118400, while the sum is 63.

The spelling of 11284141885965 in words is "eleven trillion, two hundred eighty-four billion, one hundred forty-one million, eight hundred eighty-five thousand, nine hundred sixty-five".

Divisors: 1 3 5 9 13 15 39 45 59 65 117 177 195 295 307 531 585 767 885 921 1535 2301 2655 2763 3835 3991 4605 6903 11505 11973 13815 18113 19955 34515 35919 54339 59865 90565 163017 179595 235469 271695 706407 815085 1064933 1177345 2119221 3194799 3532035 5324665 9584397 10596105 13844129 15973995 41532387 47921985 62831047 69220645 124597161 188493141 207661935 314155235 326934431 565479423 622985805 816803611 942465705 980803293 1634672155 2450410833 2827397115 2942409879 4084018055 4250147603 4904016465 7351232499 12252054165 12750442809 14712049395 19289131429 21250738015 36756162495 38251328427 57867394287 63752214045 96445657145 173602182861 191256642135 250758708577 289336971435 752276125731 868010914305 1253793542885 2256828377193 3761380628655 11284141885965