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11205492736 = 2148272
BaseRepresentation
bin10100110111110011…
…00100000000000000
31001220221010000021111
422123321210000000
5140422101231421
65051524333104
7544453055014
oct123371440000
931827100244
1011205492736
1148302325a9
122208844194
131097685a99
147842c2544
15458b30ee1
hex29be64000

11205492736 has 45 divisors (see below), whose sum is σ = 22437432619. Its totient is φ = 5595971584.

The previous prime is 11205492707. The next prime is 11205492737. The reversal of 11205492736 is 63729450211.

It is a happy number.

The square root of 11205492736 is 105856.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11205492737) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 13549155 + ... + 13549981.

Almost surely, 211205492736 is an apocalyptic number.

11205492736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

11205492736 is the 105856-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11205492736

11205492736 is an abundant number, since it is smaller than the sum of its proper divisors (11231939883).

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

11205492736 is an frugal number, since it uses more digits than its factorization.

11205492736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1682 (or 829 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The spelling of 11205492736 in words is "eleven billion, two hundred five million, four hundred ninety-two thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 128 256 512 827 1024 1654 2048 3308 4096 6616 8192 13232 16384 26464 52928 105856 211712 423424 683929 846848 1367858 1693696 2735716 3387392 5471432 6774784 10942864 13549568 21885728 43771456 87542912 175085824 350171648 700343296 1400686592 2801373184 5602746368 11205492736