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12339385344 = 2103311133121
BaseRepresentation
bin10110111110111110…
…00001010000000000
31011211221201201112000
423133133001100000
5200232340312334
65400231504000
7614532021246
oct133737012000
934757651460
1012339385344
115262296930
122484528000
131218572460
14850b24796
154c345e299
hex2df7c1400

12339385344 has 352 divisors, whose sum is σ = 42945732480. Its totient is φ = 3450470400.

The previous prime is 12339385343. The next prime is 12339385367. The reversal of 12339385344 is 44358393321.

12339385344 is a `hidden beast` number, since 1 + 23 + 3 + 93 + 8 + 534 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (352).

It is a self number, because there is not a number n which added to its sum of digits gives 12339385344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12339385343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3952104 + ... + 3955224.

Almost surely, 212339385344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12339385344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21472866240).

12339385344 is an abundant number, since it is smaller than the sum of its proper divisors (30606347136).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12339385344 is a wasteful number, since it uses less digits than its factorization.

12339385344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3174 (or 3150 counting only the distinct ones).

The product of its digits is 933120, while the sum is 45.

The spelling of 12339385344 in words is "twelve billion, three hundred thirty-nine million, three hundred eighty-five thousand, three hundred forty-four".