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11868223140 = 2233523394327
BaseRepresentation
bin10110000110110011…
…01011011010100100
31010122010011012111000
423003121223122210
5143301231120030
65241401113300
7600051142434
oct130331533244
933563135430
1011868223140
115040336784
122372788830
131171a76357
148083182c4
15496de0860
hex2c366b6a4

11868223140 has 96 divisors (see below), whose sum is σ = 37082223360. Its totient is φ = 3151243008.

The previous prime is 11868223121. The next prime is 11868223181. The reversal of 11868223140 is 4132286811.

11868223140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11868223095 and 11868223104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78657 + ... + 172983.

It is an arithmetic number, because the mean of its divisors is an integer number (386273160).

Almost surely, 211868223140 is an apocalyptic number.

11868223140 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 11868223140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18541111680).

11868223140 is an abundant number, since it is smaller than the sum of its proper divisors (25214000220).

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

11868223140 is a wasteful number, since it uses less digits than its factorization.

11868223140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94578 (or 94570 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 11868223140 in words is "eleven billion, eight hundred sixty-eight million, two hundred twenty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 233 270 466 540 699 932 1165 1398 2097 2330 2796 3495 4194 4660 6291 6990 8388 10485 12582 13980 20970 25164 31455 41940 62910 94327 125820 188654 282981 377308 471635 565962 848943 943270 1131924 1414905 1697886 1886540 2546829 2829810 3395772 4244715 5093658 5659620 8489430 10187316 12734145 16978860 21978191 25468290 43956382 50936580 65934573 87912764 109890955 131869146 197803719 219781910 263738292 329672865 395607438 439563820 593411157 659345730 791214876 989018595 1186822314 1318691460 1978037190 2373644628 2967055785 3956074380 5934111570 11868223140