Search a number
-
+
12389359104 = 29337312277
BaseRepresentation
bin10111000100111011…
…01001111000000000
31011222102202122122000
423202131221320000
5200333133442404
65405214544000
7616006546323
oct134235517000
934872678560
1012389359104
115288519961
122499208000
131225a1b925
148576127ba
154c7a31339
hex2e2769e00

12389359104 has 160 divisors (see below), whose sum is σ = 37178766240. Its totient is φ = 4072882176.

The previous prime is 12389359063. The next prime is 12389359109. The reversal of 12389359104 is 40195398321.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 12389359104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12389359109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1003014 + ... + 1015290.

It is an arithmetic number, because the mean of its divisors is an integer number (232367289).

Almost surely, 212389359104 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 12389359104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18589383120).

12389359104 is an abundant number, since it is smaller than the sum of its proper divisors (24789407136).

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

12389359104 is an equidigital number, since it uses as much as digits as its factorization.

12389359104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12377 (or 12355 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 12389359104 in words is "twelve billion, three hundred eighty-nine million, three hundred fifty-nine thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 73 96 108 128 144 146 192 216 219 256 288 292 384 432 438 512 576 584 657 768 864 876 1152 1168 1314 1536 1728 1752 1971 2304 2336 2628 3456 3504 3942 4608 4672 5256 6912 7008 7884 9344 10512 12277 13824 14016 15768 18688 21024 24554 28032 31536 36831 37376 42048 49108 56064 63072 73662 84096 98216 110493 112128 126144 147324 168192 196432 220986 252288 294648 331479 336384 392864 441972 504576 589296 662958 785728 883944 896221 1009152 1178592 1325916 1571456 1767888 1792442 2357184 2651832 2688663 3142912 3535776 3584884 4714368 5303664 5377326 6285824 7071552 7169768 8065989 9428736 10607328 10754652 14143104 14339536 16131978 18857472 21214656 21509304 24197967 28286208 28679072 32263956 42429312 43018608 48395934 56572416 57358144 64527912 84858624 86037216 96791868 114716288 129055824 169717248 172074432 193583736 229432576 258111648 344148864 387167472 458865152 516223296 688297728 774334944 1032446592 1376595456 1548669888 2064893184 3097339776 4129786368 6194679552 12389359104