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13819085969 = 132773837569
BaseRepresentation
bin11001101111010111…
…01000010010010001
31022200002001022011212
430313223220102101
5211300141222334
610203130545505
7666310202243
oct146753502221
938602038155
1013819085969
115951571907
122817b98295
1313c2ca7c60
14951462093
1555d2e8ece
hex337ae8491

13819085969 has 8 divisors (see below), whose sum is σ = 14935822440. Its totient is φ = 12710025216.

The previous prime is 13819085881. The next prime is 13819085983. The reversal of 13819085969 is 96958091831.

13819085969 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 21529600 + 13797556369 = 4640^2 + 117463^2 .

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 13819085969 - 216 = 13819020433 is a prime.

It is a super-2 number, since 2×138190859692 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13819085369) 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, 1915184 + ... + 1922385.

It is an arithmetic number, because the mean of its divisors is an integer number (1866977805).

Almost surely, 213819085969 is an apocalyptic number.

It is an amenable number.

13819085969 is a deficient number, since it is larger than the sum of its proper divisors (1116736471).

13819085969 is a wasteful number, since it uses less digits than its factorization.

13819085969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3837859.

The product of its (nonzero) digits is 4199040, while the sum is 59.

The spelling of 13819085969 in words is "thirteen billion, eight hundred nineteen million, eighty-five thousand, nine hundred sixty-nine".

Divisors: 1 13 277 3601 3837569 49888397 1063006613 13819085969