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12338445577 = 411440120897
BaseRepresentation
bin10110111110110110…
…11011110100001001
31011211212221222101211
423133123123310021
5200232120224302
65400155413121
7614521025353
oct133733336411
934755858354
1012338445577
115261804867
1224841541a1
131218303793
1485095c0d3
154c3325ad7
hex2df6dbd09

12338445577 has 8 divisors (see below), whose sum is σ = 12640865832. Its totient is φ = 12036096000.

The previous prime is 12338445569. The next prime is 12338445599. The reversal of 12338445577 is 77554483321.

It can be written as a sum of positive squares in 4 ways, for example, as 3282258681 + 9056186896 = 57291^2 + 95164^2 .

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 12338445577 - 23 = 12338445569 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12338445577.

It is not an unprimeable number, because it can be changed into a prime (12338443577) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 579993 + ... + 600889.

It is an arithmetic number, because the mean of its divisors is an integer number (1580108229).

Almost surely, 212338445577 is an apocalyptic number.

It is an amenable number.

12338445577 is a deficient number, since it is larger than the sum of its proper divisors (302420255).

12338445577 is a wasteful number, since it uses less digits than its factorization.

12338445577 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35339.

The product of its digits is 2822400, while the sum is 49.

The spelling of 12338445577 in words is "twelve billion, three hundred thirty-eight million, four hundred forty-five thousand, five hundred seventy-seven".

Divisors: 1 41 14401 20897 590441 856777 300937697 12338445577