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110985466481296 = 241122394312
BaseRepresentation
bin11001001111000011010001…
…010011100000101010010000
3112112222002212222120221221121
4121033003101103200222100
5104021341213404400141
61032014004110332024
732243302215431131
oct3117032123405220
9475862788527847
10110985466481296
11323aa743497400
12105458881ba014
1349c0b6656b594
141d59a220b1c88
15cc6ec00ab1d1
hex64f0d14e0a90

110985466481296 has 45 divisors (see below), whose sum is σ = 236361048284739. Its totient is φ = 50447728610400.

The previous prime is 110985466481257. The next prime is 110985466481339. The reversal of 110985466481296 is 692184664589011.

The square root of 110985466481296 is 10534964.

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

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 463418701 + ... + 463658131.

Almost surely, 2110985466481296 is an apocalyptic number.

110985466481296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

110985466481296 is the 10534964-th square number.

It is an amenable number.

110985466481296 is an abundant number, since it is smaller than the sum of its proper divisors (125375581803443).

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

110985466481296 is an frugal number, since it uses more digits than its factorization.

110985466481296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478892 (or 239444 counting only the distinct ones).

The product of its (nonzero) digits is 179159040, while the sum is 70.

The spelling of 110985466481296 in words is "one hundred ten trillion, nine hundred eighty-five billion, four hundred sixty-six million, four hundred eighty-one thousand, two hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1936 239431 478862 957724 1915448 2633741 3830896 5267482 10534964 21069928 28971151 42139856 57942302 115884604 231769208 463538416 57327203761 114654407522 229308815044 458617630088 630599241371 917235260176 1261198482742 2522396965484 5044793930968 6936591655081 10089587861936 13873183310162 27746366620324 55492733240648 110985466481296