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146208365540 = 22511593630589
BaseRepresentation
bin1000100000101010110…
…0101001101111100100
3111222101111211112012122
42020022230221233210
54343413320144130
6151100040405112
713364115413246
oct2101254515744
9458344745178
10146208365540
11570088a1056
1224404a76798
1310a30b83983
14710dd9a096
153c0acb72e5
hex220ab29be4

146208365540 has 24 divisors (see below), whose sum is σ = 307064539320. Its totient is φ = 58478208768.

The previous prime is 146208365531. The next prime is 146208365549. The reversal of 146208365540 is 45563802641.

It is an interprime number because it is at equal distance from previous prime (146208365531) and next prime (146208365549).

It can be written as a sum of positive squares in 4 ways, for example, as 6734500096 + 139473865444 = 82064^2 + 373462^2 .

It is a junction number, because it is equal to n+sod(n) for n = 146208365491 and 146208365500.

It is not an unprimeable number, because it can be changed into a prime (146208365549) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 83435 + ... + 547154.

It is an arithmetic number, because the mean of its divisors is an integer number (12794355805).

Almost surely, 2146208365540 is an apocalyptic number.

146208365540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146208365540 is an abundant number, since it is smaller than the sum of its proper divisors (160856173780).

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

146208365540 is a wasteful number, since it uses less digits than its factorization.

146208365540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642191 (or 642189 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 44.

The spelling of 146208365540 in words is "one hundred forty-six billion, two hundred eight million, three hundred sixty-five thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 11593 23186 46372 57965 115930 231860 630589 1261178 2522356 3152945 6305890 12611780 7310418277 14620836554 29241673108 36552091385 73104182770 146208365540