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12044932052004 = 2232334581445889
BaseRepresentation
bin1010111101000110110111…
…1001010111010000100100
31120122111002000122211201200
42233101231321113100210
53034321010101131004
641341210531522500
72352134434111455
oct257215571272044
946574060584650
1012044932052004
113924255150585
12142647b459430
13694aa85001c7
142d8d9920112c
1515d4b28db239
hexaf46de57424

12044932052004 has 18 divisors (see below), whose sum is σ = 30446911575990. Its totient is φ = 4014977350656.

The previous prime is 12044932052003. The next prime is 12044932052051. The reversal of 12044932052004 is 40025023944021.

It is a happy number.

12044932052004 is a `hidden beast` number, since 1 + 2 + 0 + 44 + 93 + 2 + 0 + 520 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7522512998400 + 4522419053604 = 2742720^2 + 2126598^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 334581445889 = 12044932052004 / (1 + 2 + 0 + 4 + 4 + 9 + 3 + 2 + 0 + 5 + 2 + 0 + 0 + 4).

It is a self number, because there is not a number n which added to its sum of digits gives 12044932052004.

It is not an unprimeable number, because it can be changed into a prime (12044932052003) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 167290722909 + ... + 167290722980.

It is an arithmetic number, because the mean of its divisors is an integer number (1691495087555).

Almost surely, 212044932052004 is an apocalyptic number.

It is an amenable number.

12044932052004 is an abundant number, since it is smaller than the sum of its proper divisors (18401979523986).

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

12044932052004 is a wasteful number, since it uses less digits than its factorization.

12044932052004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334581445899 (or 334581445894 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 12044932052004 its reverse (40025023944021), we get a palindrome (52069955996025).

The spelling of 12044932052004 in words is "twelve trillion, forty-four billion, nine hundred thirty-two million, fifty-two thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 334581445889 669162891778 1003744337667 1338325783556 2007488675334 3011233013001 4014977350668 6022466026002 12044932052004