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13630333332 = 22372113167979
BaseRepresentation
bin11001011000110111…
…00110000110010100
31022011220212200020110
430230123212012110
5210403331131312
610132305203020
7661525631100
oct145433460624
938156780213
1013630333332
115864a711a0
122784930470
131392b5b1c5
1493436a900
1554b96243c
hex32c6e6194

13630333332 has 144 divisors (see below), whose sum is σ = 41662494720. Its totient is φ = 3426091200.

The previous prime is 13630333331. The next prime is 13630333399. The reversal of 13630333332 is 23333303631.

It is a self number, because there is not a number n which added to its sum of digits gives 13630333332.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13630333331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 166519 + ... + 234497.

It is an arithmetic number, because the mean of its divisors is an integer number (289322880).

Almost surely, 213630333332 is an apocalyptic number.

13630333332 is a gapful number since it is divisible by the number (12) 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 13630333332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20831247360).

13630333332 is an abundant number, since it is smaller than the sum of its proper divisors (28032161388).

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

13630333332 is a wasteful number, since it uses less digits than its factorization.

13630333332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68042 (or 68033 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 30.

Adding to 13630333332 its reverse (23333303631), we get a palindrome (36963636963).

The spelling of 13630333332 in words is "thirteen billion, six hundred thirty million, three hundred thirty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 31 33 42 44 49 62 66 77 84 93 98 124 132 147 154 186 196 217 231 294 308 341 372 434 462 539 588 651 682 868 924 1023 1078 1302 1364 1519 1617 2046 2156 2387 2604 3038 3234 4092 4557 4774 6076 6468 7161 9114 9548 14322 16709 18228 28644 33418 50127 66836 67979 100254 135958 200508 203937 271916 407874 475853 747769 815748 951706 1427559 1495538 1903412 2107349 2243307 2855118 2991076 3330971 4214698 4486614 5234383 5710236 6322047 6661942 8429396 8973228 9992913 10468766 12644094 13323884 14751443 15703149 19985826 20937532 23180839 25288188 29502886 31406298 36640681 39971652 44254329 46361678 59005772 62812596 69542517 73281362 88508658 92723356 103260101 109922043 139085034 146562724 162265873 177017316 206520202 219844086 278170068 309780303 324531746 413040404 439688172 486797619 619560606 649063492 973595238 1135861111 1239121212 1947190476 2271722222 3407583333 4543444444 6815166666 13630333332