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146328123180 = 223537169338933
BaseRepresentation
bin1000100001000111010…
…1011111011100101100
3111222200212011211210210
42020101311133130230
54344134444420210
6151115555302420
713400101345011
oct2102165373454
9458625154723
10146328123180
115706a457808
1224438baaa10
1310a4c924495
147121c51708
153c16570e20
hex2211d5f72c

146328123180 has 96 divisors (see below), whose sum is σ = 421051587264. Its totient is φ = 37942815744.

The previous prime is 146328123167. The next prime is 146328123191. The reversal of 146328123180 is 81321823641.

146328123180 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3738994 + ... + 3777926.

It is an arithmetic number, because the mean of its divisors is an integer number (4385954034).

Almost surely, 2146328123180 is an apocalyptic number.

146328123180 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 146328123180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210525793632).

146328123180 is an abundant number, since it is smaller than the sum of its proper divisors (274723464084).

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

146328123180 is a wasteful number, since it uses less digits than its factorization.

146328123180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40675 (or 40673 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The spelling of 146328123180 in words is "one hundred forty-six billion, three hundred twenty-eight million, one hundred twenty-three thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 1693 2220 3386 5079 6772 8465 10158 16930 20316 25395 33860 38933 50790 62641 77866 101580 116799 125282 155732 187923 194665 233598 250564 313205 375846 389330 467196 583995 626410 751692 778660 939615 1167990 1252820 1440521 1879230 2335980 2881042 3758460 4321563 5762084 7202605 8643126 14405210 17286252 21607815 28810420 43215630 65913569 86431260 131827138 197740707 263654276 329567845 395481414 659135690 790962828 988703535 1318271380 1977407070 2438802053 3954814140 4877604106 7316406159 9755208212 12194010265 14632812318 24388020530 29265624636 36582030795 48776041060 73164061590 146328123180