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10921170568 = 23721121931193
BaseRepresentation
bin10100010101111001…
…11101011010001000
31001012010002221120211
422022330331122020
5134331304424233
65003410330504
7534431263300
oct121274753210
931163087524
1010921170568
1146a4797100
122149589a34
1310507b7009
14758630600
1543dbbc5cd
hex28af3d688

10921170568 has 144 divisors (see below), whose sum is σ = 26340487740. Its totient is φ = 4229406720.

The previous prime is 10921170553. The next prime is 10921170613. The reversal of 10921170568 is 86507112901.

It is a happy number.

10921170568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 10741664164 + 179506404 = 103642^2 + 13398^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10921170568.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9153780 + ... + 9154972.

Almost surely, 210921170568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10921170568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13170243870).

10921170568 is an abundant number, since it is smaller than the sum of its proper divisors (15419317172).

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

10921170568 is a wasteful number, since it uses less digits than its factorization.

10921170568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1428 (or 1406 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 40.

The spelling of 10921170568 in words is "ten billion, nine hundred twenty-one million, one hundred seventy thousand, five hundred sixty-eight".

Divisors: 1 2 4 7 8 11 14 22 28 44 49 56 77 88 98 121 154 193 196 242 308 386 392 484 539 616 772 847 968 1078 1193 1351 1544 1694 2123 2156 2386 2702 3388 4246 4312 4772 5404 5929 6776 8351 8492 9457 9544 10808 11858 13123 14861 16702 16984 18914 23353 23716 26246 29722 33404 37828 46706 47432 52492 58457 59444 66808 75656 91861 93412 104027 104984 116914 118888 144353 163471 183722 186824 208054 230249 233828 288706 326942 367444 416108 460498 467656 577412 643027 653884 734888 832216 920996 1010471 1144297 1154824 1286054 1307768 1611743 1841992 2020942 2288594 2532739 2572108 3223486 4041884 4577188 5065478 5144216 6446972 7073297 8083768 9154376 10130956 11282201 12893944 14146594 17729173 20261912 22564402 27860129 28293188 35458346 45128804 55720258 56586376 70916692 90257608 111440516 124104211 141833384 195020903 222881032 248208422 390041806 496416844 780083612 992833688 1365146321 1560167224 2730292642 5460585284 10921170568