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11459809234756 = 221572107812
BaseRepresentation
bin1010011011000011000111…
…0110111100111101000100
31111120112202210211222100001
42212300301312330331010
53000224142131003011
640212321431131044
72261641520166211
oct246606166747504
944515683758301
1011459809234756
113719094613643
121350ba2b13a84
13651869b1971c
142b892cb30b08
1514d168bc27c1
hexa6c31dbcf44

11459809234756 has 27 divisors (see below), whose sum is σ = 20185088781207. Its totient is φ = 5692880313120.

The previous prime is 11459809234733. The next prime is 11459809234777. The reversal of 11459809234756 is 65743290895411.

The square root of 11459809234756 is 3385234.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2015349336900 + 9444459897856 = 1419630^2 + 3073184^2 .

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1062958086 + ... + 1062968866.

It is a 1-persistent number, because it is pandigital, but 2⋅11459809234756 = 22919618469512 is not.

Almost surely, 211459809234756 is an apocalyptic number.

11459809234756 is the 3385234-th square number.

It is an amenable number.

11459809234756 is a deficient number, since it is larger than the sum of its proper divisors (8725279546451).

11459809234756 is an frugal number, since it uses more digits than its factorization.

11459809234756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21880 (or 10940 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 64.

Multiplying 11459809234756 by its sum of digits (64), we get a square (733427791024384 = 270818722).

The spelling of 11459809234756 in words is "eleven trillion, four hundred fifty-nine billion, eight hundred nine million, two hundred thirty-four thousand, seven hundred fifty-six".

Divisors: 1 2 4 157 314 628 10781 21562 24649 43124 49298 98596 1692617 3385234 6770468 116229961 232459922 265740869 464919844 531481738 1062963476 18248103877 36496207754 72992415508 2864952308689 5729904617378 11459809234756