Search a number
-
+
11466660120 = 2335234579091
BaseRepresentation
bin10101010110111011…
…10101100100011000
31002121010112200120120
422223131311210120
5141440431110440
65133454153240
7554104000656
oct125335654430
932533480516
1011466660120
1149546a3513
1222801b2820
1311098084b6
147aac67dd6
15471a1ddd0
hex2ab775918

11466660120 has 128 divisors (see below), whose sum is σ = 35978135040. Its totient is φ = 2918108160.

The previous prime is 11466660103. The next prime is 11466660133. The reversal of 11466660120 is 2106666411.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1256775 + ... + 1265865.

It is an arithmetic number, because the mean of its divisors is an integer number (281079180).

Almost surely, 211466660120 is an apocalyptic number.

11466660120 is a gapful number since it is divisible by the number (10) 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 11466660120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17989067520).

11466660120 is an abundant number, since it is smaller than the sum of its proper divisors (24511474920).

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

11466660120 is a wasteful number, since it uses less digits than its factorization.

11466660120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9585 (or 9581 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The spelling of 11466660120 in words is "eleven billion, four hundred sixty-six million, six hundred sixty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 457 460 552 690 914 920 1371 1380 1828 2285 2742 2760 3656 4570 5484 6855 9091 9140 10511 10968 13710 18182 18280 21022 27273 27420 31533 36364 42044 45455 52555 54546 54840 63066 72728 84088 90910 105110 109092 126132 136365 157665 181820 209093 210220 218184 252264 272730 315330 363640 418186 420440 545460 627279 630660 836372 1045465 1090920 1254558 1261320 1672744 2090930 2509116 3136395 4154587 4181860 5018232 6272790 8309174 8363720 12463761 12545580 16618348 20772935 24927522 25091160 33236696 41545870 49855044 62318805 83091740 95555501 99710088 124637610 166183480 191111002 249275220 286666503 382222004 477777505 498550440 573333006 764444008 955555010 1146666012 1433332515 1911110020 2293332024 2866665030 3822220040 5733330060 11466660120