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10856680236 = 22332922915137
BaseRepresentation
bin10100001110001101…
…11100101100101100
31001000121202111111000
422013012330230230
5134213302231421
64553144200300
7533016154653
oct120706745454
931017674430
1010856680236
114671349606
12212ba69090
13104032725c
1474dc4419a
154381ce226
hex2871bcb2c

10856680236 has 96 divisors (see below), whose sum is σ = 29246616000. Its totient is φ = 3478616064.

The previous prime is 10856680229. The next prime is 10856680277. The reversal of 10856680236 is 63208665801.

10856680236 is a `hidden beast` number, since 1 + 0 + 8 + 566 + 80 + 2 + 3 + 6 = 666.

10856680236 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10856680191 and 10856680200.

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 31 ways as a sum of consecutive naturals, for example, 709660 + ... + 724796.

It is an arithmetic number, because the mean of its divisors is an integer number (304652250).

Almost surely, 210856680236 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 10856680236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14623308000).

10856680236 is an abundant number, since it is smaller than the sum of its proper divisors (18389935764).

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

10856680236 is a wasteful number, since it uses less digits than its factorization.

10856680236 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15408 (or 15400 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 10856680236 in words is "ten billion, eight hundred fifty-six million, six hundred eighty thousand, two hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 87 108 116 174 229 261 348 458 522 687 783 916 1044 1374 1566 2061 2748 3132 4122 6183 6641 8244 12366 13282 15137 19923 24732 26564 30274 39846 45411 59769 60548 79692 90822 119538 136233 179307 181644 239076 272466 358614 408699 438973 544932 717228 817398 877946 1316919 1634796 1755892 2633838 3466373 3950757 5267676 6932746 7901514 10399119 11852271 13865492 15803028 20798238 23704542 31197357 41596476 47409084 62394714 93592071 100524817 124789428 187184142 201049634 301574451 374368284 402099268 603148902 904723353 1206297804 1809446706 2714170059 3618893412 5428340118 10856680236