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10863410152 = 237237374297
BaseRepresentation
bin10100001111000001…
…00111101111101000
31001001002102102012011
422013200213233220
5134222013111102
64553544325304
7533130314500
oct120740475750
931032372164
1010863410152
114675125921
122132173834
13104184255a
14750ab6a00
15438aad2d7
hex287827be8

10863410152 has 48 divisors (see below), whose sum is σ = 23758271460. Its totient is φ = 4643202816.

The previous prime is 10863410137. The next prime is 10863410153. The reversal of 10863410152 is 25101436801.

10863410152 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 10186057476 + 677352676 = 100926^2 + 26026^2 .

It is not an unprimeable number, because it can be changed into a prime (10863410153) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 109068 + ... + 183364.

Almost surely, 210863410152 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 10863410152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11879135730).

10863410152 is an abundant number, since it is smaller than the sum of its proper divisors (12894861308).

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

10863410152 is a wasteful number, since it uses less digits than its factorization.

10863410152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74690 (or 74679 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

Adding to 10863410152 its reverse (25101436801), we get a palindrome (35964846953).

The spelling of 10863410152 in words is "ten billion, eight hundred sixty-three million, four hundred ten thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 373 392 746 1492 2611 2984 5222 10444 18277 20888 36554 73108 74297 146216 148594 297188 520079 594376 1040158 2080316 3640553 4160632 7281106 14562212 27712781 29124424 55425562 110851124 193989467 221702248 387978934 775957868 1357926269 1551915736 2715852538 5431705076 10863410152