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13478040409 = 137257382801
BaseRepresentation
bin11001000110101101…
…01001001101011001
31021210022022101121211
430203112221031121
5210100334243114
610105225103121
7654666311311
oct144326511531
937708271554
1013478040409
115797003279
122741927aa1
13136a438752
1491c046441
1553d3cd6c4
hex3235a9359

13478040409 has 8 divisors (see below), whose sum is σ = 13629282408. Its totient is φ = 13327564800.

The previous prime is 13478040371. The next prime is 13478040449. The reversal of 13478040409 is 90404087431.

13478040409 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 8441015625 + 5037024784 = 91875^2 + 70972^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13478040409 - 217 = 13477909337 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13478040449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 156192 + ... + 226609.

It is an arithmetic number, because the mean of its divisors is an integer number (1703660301).

Almost surely, 213478040409 is an apocalyptic number.

It is an amenable number.

13478040409 is a deficient number, since it is larger than the sum of its proper divisors (151241999).

13478040409 is a wasteful number, since it uses less digits than its factorization.

13478040409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383195.

The product of its (nonzero) digits is 96768, while the sum is 40.

The spelling of 13478040409 in words is "thirteen billion, four hundred seventy-eight million, forty thousand, four hundred nine".

Divisors: 1 137 257 35209 382801 52443737 98379857 13478040409