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10992264336 = 243287372
BaseRepresentation
bin10100011110011000…
…01010010010010000
31001101001212212220100
422033030022102100
5140003004424321
65014430212400
7536253463614
oct121714122220
931331785810
1010992264336
114730934989
122169354100
131062449631
14763c59344
15445062326
hex28f30a490

10992264336 has 45 divisors (see below), whose sum is σ = 30766594521. Its totient is φ = 3663668736.

The previous prime is 10992264319. The next prime is 10992264337. The reversal of 10992264336 is 63346229901.

The square root of 10992264336 is 104844.

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

10992264336 is a `hidden beast` number, since 1 + 0 + 99 + 226 + 4 + 336 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4160250000 + 6832014336 = 64500^2 + 82656^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10992264291 and 10992264300.

It is not an unprimeable number, because it can be changed into a prime (10992264337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1253760 + ... + 1262496.

Almost surely, 210992264336 is an apocalyptic number.

10992264336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10992264336 is the 104844-th square number.

It is an amenable number.

10992264336 is an abundant number, since it is smaller than the sum of its proper divisors (19774330185).

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

10992264336 is an frugal number, since it uses more digits than its factorization.

10992264336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17488 (or 8742 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 10992264336 in words is "ten billion, nine hundred ninety-two million, two hundred sixty-four thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 8737 17474 26211 34948 52422 69896 78633 104844 139792 157266 209688 314532 419376 629064 1258128 76335169 152670338 229005507 305340676 458011014 610681352 687016521 916022028 1221362704 1374033042 1832044056 2748066084 3664088112 5496132168 10992264336