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10853229312 = 28336125741
BaseRepresentation
bin10100001101110011…
…10010001100000000
31001000101021011201000
422012321302030000
5134211411314222
64552542212000
7532644632652
oct120671621400
931011234630
1010853229312
11466a401902
12212a884000
13103c6b95a3
1474d5c66d2
15437c4b9ac
hex286e72300

10853229312 has 144 divisors (see below), whose sum is σ = 32622321760. Its totient is φ = 3558297600.

The previous prime is 10853229307. The next prime is 10853229337. The reversal of 10853229312 is 21392235801.

10853229312 is a `hidden beast` number, since 10 + 8 + 5 + 322 + 9 + 312 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 408762 + ... + 434502.

Almost surely, 210853229312 is an apocalyptic number.

10853229312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10853229312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16311160880).

10853229312 is an abundant number, since it is smaller than the sum of its proper divisors (21769092448).

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

10853229312 is an equidigital number, since it uses as much as digits as its factorization.

10853229312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25827 (or 25807 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 10853229312 in words is "ten billion, eight hundred fifty-three million, two hundred twenty-nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 61 64 72 96 108 122 128 144 183 192 216 244 256 288 366 384 432 488 549 576 732 768 864 976 1098 1152 1464 1647 1728 1952 2196 2304 2928 3294 3456 3904 4392 5856 6588 6912 7808 8784 11712 13176 15616 17568 23424 25741 26352 35136 46848 51482 52704 70272 77223 102964 105408 140544 154446 205928 210816 231669 308892 411856 421632 463338 617784 695007 823712 926676 1235568 1390014 1570201 1647424 1853352 2471136 2780028 3140402 3294848 3706704 4710603 4942272 5560056 6280804 6589696 7413408 9421206 9884544 11120112 12561608 14131809 14826816 18842412 19769088 22240224 25123216 28263618 29653632 37684824 42395427 44480448 50246432 56527236 59307264 75369648 84790854 88960896 100492864 113054472 150739296 169581708 177921792 200985728 226108944 301478592 339163416 401971456 452217888 602957184 678326832 904435776 1205914368 1356653664 1808871552 2713307328 3617743104 5426614656 10853229312