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9812091136 = 284121512
BaseRepresentation
bin10010010001101100…
…01010000100000000
3221022211011212121211
421020312022010000
5130043343404021
64301351055504
7465103253461
oct111066120400
927284155554
109812091136
114185740331
121a9a071594
13c04aa77b3
1469120ad68
153c66413e1
hex248d8a100

9812091136 has 81 divisors (see below), whose sum is σ = 20209037709. Its totient is φ = 4754688000.

The previous prime is 9812091119. The next prime is 9812091167. The reversal of 9812091136 is 6311902189.

The square root of 9812091136 is 99056.

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

It can be written as a sum of positive squares in only one way, i.e., 472801536 + 9339289600 = 21744^2 + 96640^2 .

It is a super-2 number, since 2×98120911362 (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 64980661 + ... + 64980811.

Almost surely, 29812091136 is an apocalyptic number.

9812091136 is the 99056-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9812091136

9812091136 is an abundant number, since it is smaller than the sum of its proper divisors (10396946573).

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

9812091136 is an frugal number, since it uses more digits than its factorization.

9812091136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 40.

The cubic root of 9812091136 is about 2140.8546922274.

The spelling of 9812091136 in words is "nine billion, eight hundred twelve million, ninety-one thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 32 41 64 82 128 151 164 256 302 328 604 656 1208 1312 1681 2416 2624 3362 4832 5248 6191 6724 9664 10496 12382 13448 19328 22801 24764 26896 38656 45602 49528 53792 91204 99056 107584 182408 198112 215168 253831 364816 396224 430336 507662 729632 792448 934841 1015324 1459264 1584896 1869682 2030648 2918528 3739364 4061296 5837056 7478728 8122592 14957456 16245184 29914912 32490368 38328481 59829824 64980736 76656962 119659648 153313924 239319296 306627848 613255696 1226511392 2453022784 4906045568 9812091136