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1800193679145 = 32540004303981
BaseRepresentation
bin11010001100100011111…
…001111001111100101001
320101002121121000002022100
4122030203321321330221
5213443244040213040
63454555250044013
7244026322541211
oct32144371717451
96332547002270
101800193679145
116345044456a4
12250a81279609
131009b03c8454
14631b63c7241
1531c61a64b30
hex1a323e79f29

1800193679145 has 12 divisors (see below), whose sum is σ = 3120335710596. Its totient is φ = 960103295520.

The previous prime is 1800193679099. The next prime is 1800193679149. The reversal of 1800193679145 is 5419763910081.

1800193679145 is a `hidden beast` number, since 180 + 0 + 19 + 367 + 91 + 4 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1382468014656 + 417725664489 = 1175784^2 + 646317^2 .

It is not a de Polignac number, because 1800193679145 - 225 = 1800160124713 is a prime.

It is a super-2 number, since 2×18001936791452 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1800193679091 and 1800193679100.

It is not an unprimeable number, because it can be changed into a prime (1800193679149) 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 11 ways as a sum of consecutive naturals, for example, 20002151946 + ... + 20002152035.

It is an arithmetic number, because the mean of its divisors is an integer number (260027975883).

Almost surely, 21800193679145 is an apocalyptic number.

1800193679145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1800193679145 is a deficient number, since it is larger than the sum of its proper divisors (1320142031451).

1800193679145 is a wasteful number, since it uses less digits than its factorization.

1800193679145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40004303992 (or 40004303989 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 1800193679145 in words is "one trillion, eight hundred billion, one hundred ninety-three million, six hundred seventy-nine thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 45 40004303981 120012911943 200021519905 360038735829 600064559715 1800193679145