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13383983808 = 263413198599
BaseRepresentation
bin11000111011011111…
…10110001011000000
31021112202022211020000
430131233312023000
5204402244440213
610052025120000
7652444661646
oct143557661300
937482284200
1013383983808
115748a01148
122716329000
131353ac6260
1490d761196
15534eeec73
hex31dbf62c0

13383983808 has 140 divisors (see below), whose sum is σ = 42726406800. Its totient is φ = 4118128128.

The previous prime is 13383983801. The next prime is 13383983813. The reversal of 13383983808 is 80838938331.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (13383983801) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 31908 + ... + 166691.

It is an arithmetic number, because the mean of its divisors is an integer number (305188620).

Almost surely, 213383983808 is an apocalyptic number.

13383983808 is a gapful number since it is divisible by the number (18) 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 13383983808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21363203400).

13383983808 is an abundant number, since it is smaller than the sum of its proper divisors (29342422992).

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

13383983808 is a wasteful number, since it uses less digits than its factorization.

13383983808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198636 (or 198617 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 13383983808 in words is "thirteen billion, three hundred eighty-three million, nine hundred eighty-three thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 81 96 104 108 117 144 156 162 192 208 216 234 288 312 324 351 416 432 468 576 624 648 702 832 864 936 1053 1248 1296 1404 1728 1872 2106 2496 2592 2808 3744 4212 5184 5616 7488 8424 11232 16848 22464 33696 67392 198599 397198 595797 794396 1191594 1588792 1787391 2383188 2581787 3177584 3574782 4766376 5163574 5362173 6355168 7149564 7745361 9532752 10327148 10724346 12710336 14299128 15490722 16086519 19065504 20654296 21448692 23236083 28598256 30981444 32173038 38131008 41308592 42897384 46472166 57196512 61962888 64346076 69708249 82617184 85794768 92944332 114393024 123925776 128692152 139416498 165234368 171589536 185888664 209124747 247851552 257384304 278832996 343179072 371777328 418249494 495703104 514768608 557665992 743554656 836498988 1029537216 1115331984 1487109312 1672997976 2230663968 3345995952 4461327936 6691991904 13383983808