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12305604336 = 2432910782619
BaseRepresentation
bin10110111010111100…
…01001111011110000
31011202121011110200120
423131132021323300
5200200213314321
65353023450240
7613641624324
oct133536117360
934677143616
1012305604336
115245213743
122475156980
1312115754ac
1484a44d984
154c04d9ec6
hex2dd789ef0

12305604336 has 80 divisors (see below), whose sum is σ = 33193411200. Its totient is φ = 3923363584.

The previous prime is 12305604317. The next prime is 12305604403. The reversal of 12305604336 is 63340650321.

It is a junction number, because it is equal to n+sod(n) for n = 12305604297 and 12305604306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107635 + ... + 190253.

It is an arithmetic number, because the mean of its divisors is an integer number (414917640).

Almost surely, 212305604336 is an apocalyptic number.

12305604336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12305604336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16596705600).

12305604336 is an abundant number, since it is smaller than the sum of its proper divisors (20887806864).

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

12305604336 is a wasteful number, since it uses less digits than its factorization.

12305604336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82766 (or 82760 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 33.

The spelling of 12305604336 in words is "twelve billion, three hundred five million, six hundred four thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 107 116 174 214 232 321 348 428 464 642 696 856 1284 1392 1712 2568 3103 5136 6206 9309 12412 18618 24824 37236 49648 74472 82619 148944 165238 247857 330476 495714 660952 991428 1321904 1982856 2395951 3965712 4791902 7187853 8840233 9583804 14375706 17680466 19167608 26520699 28751412 35360932 38335216 53041398 57502824 70721864 106082796 115005648 141443728 212165592 256366757 424331184 512733514 769100271 1025467028 1538200542 2050934056 3076401084 4101868112 6152802168 12305604336