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10641160336 = 24172372412
BaseRepresentation
bin10011110100100001…
…10011100010010000
31000110121012221202111
421322100303202100
5133243114112321
64515524555104
7524461241032
oct117220634220
930417187674
1010641160336
114570726294
12208b852a94
131007797aa1
1472d381c52
1542430b5e1
hex27a433890

10641160336 has 135 divisors (see below), whose sum is σ = 23071691937. Its totient is φ = 4753428480.

The previous prime is 10641160331. The next prime is 10641160337. The reversal of 10641160336 is 63306114601.

The square root of 10641160336 is 103156.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 3382120336 + 7259040000 = 58156^2 + 85200^2 .

It is a super-2 number, since 2×106411603362 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10641160298 and 10641160307.

It is not an unprimeable number, because it can be changed into a prime (10641160331) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 259540476 + ... + 259540516.

Almost surely, 210641160336 is an apocalyptic number.

10641160336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10641160336 is the 103156-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10641160336

10641160336 is an abundant number, since it is smaller than the sum of its proper divisors (12430531601).

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

10641160336 is an equidigital number, since it uses as much as digits as its factorization.

10641160336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

Adding to 10641160336 its reverse (63306114601), we get a palindrome (73947274937).

The spelling of 10641160336 in words is "ten billion, six hundred forty-one million, one hundred sixty thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 17 34 37 41 68 74 82 136 148 164 272 289 296 328 578 592 629 656 697 1156 1258 1369 1394 1517 1681 2312 2516 2738 2788 3034 3362 4624 5032 5476 5576 6068 6724 10064 10693 10952 11152 11849 12136 13448 21386 21904 23273 23698 24272 25789 26896 28577 42772 46546 47396 51578 56129 57154 62197 85544 93092 94792 103156 112258 114308 124394 171088 186184 189584 206312 224516 228616 248788 372368 395641 412624 438413 449032 457232 485809 497576 791282 876826 898064 954193 971618 995152 1057349 1582564 1753652 1908386 1943236 2114698 2301289 3165128 3507304 3816772 3886472 4229396 4602578 6330256 7014608 7633544 7772944 8458792 9205156 15267088 16221281 16917584 17974933 18410312 32442562 35949866 36820624 39121913 64885124 71899732 78243826 129770248 143799464 156487652 259540496 287598928 312975304 625950608 665072521 1330145042 2660290084 5320580168 10641160336