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13872240905 = 58533252577
BaseRepresentation
bin11001110101101100…
…11001100100001001
31022210210001212001012
430322312121210021
5211402243202110
610212310133305
71000524050015
oct147266314411
938723055035
1013872240905
115979577a06
122831951235
131400cc9393
1495853b545
15562ce8905
hex33ad99909

13872240905 has 8 divisors (see below), whose sum is σ = 16666209672. Its totient is φ = 11084779008.

The previous prime is 13872240901. The next prime is 13872240919. The reversal of 13872240905 is 50904227831.

13872240905 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 1054729 + 13871186176 = 1027^2 + 117776^2 .

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 13872240905 - 22 = 13872240901 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13872240901) 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, 1622024 + ... + 1630553.

It is an arithmetic number, because the mean of its divisors is an integer number (2083276209).

Almost surely, 213872240905 is an apocalyptic number.

It is an amenable number.

13872240905 is a deficient number, since it is larger than the sum of its proper divisors (2793968767).

13872240905 is an equidigital number, since it uses as much as digits as its factorization.

13872240905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3253435.

The product of its (nonzero) digits is 120960, while the sum is 41.

The spelling of 13872240905 in words is "thirteen billion, eight hundred seventy-two million, two hundred forty thousand, nine hundred five".

Divisors: 1 5 853 4265 3252577 16262885 2774448181 13872240905