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13388076041 = 37793745589
BaseRepresentation
bin11000111011111110…
…11101010000001001
31021120001000201201012
430131333131100021
5204404321413131
610052252533305
7652524524444
oct143577352011
937501021635
1013388076041
11575024675a
122717781235
1313548c9ab2
1491010865b
1553555c52b
hex31dfdd409

13388076041 has 8 divisors (see below), whose sum is σ = 13751949960. Its totient is φ = 13024309248.

The previous prime is 13388076029. The next prime is 13388076047. The reversal of 13388076041 is 14067088331.

It can be written as a sum of positive squares in 4 ways, for example, as 7150393600 + 6237682441 = 84560^2 + 78979^2 .

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 13388076041 - 218 = 13387813897 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 13388076041.

It is not an unprimeable number, because it can be changed into a prime (13388076047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 270875 + ... + 316463.

It is an arithmetic number, because the mean of its divisors is an integer number (1718993745).

Almost surely, 213388076041 is an apocalyptic number.

It is an amenable number.

13388076041 is a deficient number, since it is larger than the sum of its proper divisors (363873919).

13388076041 is an equidigital number, since it uses as much as digits as its factorization.

13388076041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53563.

The product of its (nonzero) digits is 96768, while the sum is 41.

The spelling of 13388076041 in words is "thirteen billion, three hundred eighty-eight million, seventy-six thousand, forty-one".

Divisors: 1 37 7937 45589 293669 1686793 361839893 13388076041