Search a number
-
+
12363051632 = 2419232591303
BaseRepresentation
bin10111000001110010…
…10011001001110000
31011220121021002120012
423200321103021300
5200304420123012
65402435034052
7615240130211
oct134071231160
934817232505
1012363051632
115274690748
12249043b928
13122043a589
14853d25408
154c5586622
hex2e0e53270

12363051632 has 120 divisors (see below), whose sum is σ = 26825366400. Its totient is φ = 5502397824.

The previous prime is 12363051619. The next prime is 12363051637. The reversal of 12363051632 is 23615036321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12363051637) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9487493 + ... + 9488795.

It is an arithmetic number, because the mean of its divisors is an integer number (223544720).

Almost surely, 212363051632 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 12363051632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13412683200).

12363051632 is an abundant number, since it is smaller than the sum of its proper divisors (14462314768).

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

12363051632 is a wasteful number, since it uses less digits than its factorization.

12363051632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1435 (or 1406 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 32.

Adding to 12363051632 its reverse (23615036321), we get a palindrome (35978087953).

The spelling of 12363051632 in words is "twelve billion, three hundred sixty-three million, fifty-one thousand, six hundred thirty-two".

Divisors: 1 2 4 8 16 19 23 38 46 59 76 92 118 152 184 236 304 368 437 472 529 874 944 1058 1121 1303 1357 1748 2116 2242 2606 2714 3496 4232 4484 5212 5428 6992 8464 8968 10051 10424 10856 17936 20102 20848 21712 24757 25783 29969 31211 40204 49514 51566 59938 62422 76877 80408 99028 103132 119876 124844 153754 160816 198056 206264 239752 249688 307508 396112 412528 479504 499376 569411 593009 615016 689287 1138822 1186018 1230032 1378574 1460663 1768171 2277644 2372036 2757148 2921326 3536342 4555288 4744072 5514296 5842652 7072684 9110576 9488144 11028592 11685304 13096453 14145368 23370608 26192906 28290736 33595249 40667933 52385812 67190498 81335866 104771624 134380996 162671732 209543248 268761992 325343464 537523984 650686928 772690727 1545381454 3090762908 6181525816 12363051632