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12416201336 = 23721110926417
BaseRepresentation
bin10111001000001000…
…00011001001111000
31012001022021101020202
423210010003021320
5200412021420321
65412014141332
7616453653500
oct134404031170
935038241222
1012416201336
1152a1692920
1224a61b1848
13122b4594c6
1485addca00
154ca08470b
hex2e4103278

12416201336 has 96 divisors (see below), whose sum is σ = 29815354800. Its totient is φ = 4792919040.

The previous prime is 12416201327. The next prime is 12416201341. The reversal of 12416201336 is 63310261421.

It is a junction number, because it is equal to n+sod(n) for n = 12416201299 and 12416201308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 456800 + ... + 483216.

Almost surely, 212416201336 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 12416201336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14907677400).

12416201336 is an abundant number, since it is smaller than the sum of its proper divisors (17399153464).

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

12416201336 is a wasteful number, since it uses less digits than its factorization.

12416201336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26557 (or 26546 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

Adding to 12416201336 its reverse (63310261421), we get a palindrome (75726462757).

The spelling of 12416201336 in words is "twelve billion, four hundred sixteen million, two hundred one thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 11 14 22 28 44 49 56 77 88 98 109 154 196 218 308 392 436 539 616 763 872 1078 1199 1526 2156 2398 3052 4312 4796 5341 6104 8393 9592 10682 16786 21364 26417 33572 42728 52834 58751 67144 105668 117502 184919 211336 235004 290587 369838 470008 581174 739676 1162348 1294433 1479352 2034109 2324696 2588866 2879453 4068218 5177732 5758906 8136436 10355464 11517812 14238763 16272872 20156171 23035624 28477526 31673983 40312342 56955052 63347966 80624684 113910104 126695932 141093197 161249368 221717881 253391864 282186394 443435762 564372788 886871524 1128745576 1552025167 1773743048 3104050334 6208100668 12416201336