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14748067348 = 2273146736383
BaseRepresentation
bin11011011110000110…
…11010011000010100
31102001211002110001121
431233003122120110
5220201001123343
610435234133324
71031320334620
oct155703323024
942054073047
1014748067348
116288999313
122a37121244
1315105aaa91
149dc9a4180
155b4b4caed
hex36f0da614

14748067348 has 48 divisors (see below), whose sum is σ = 30513659904. Its totient is φ = 6103444320.

The previous prime is 14748067343. The next prime is 14748067361. The reversal of 14748067348 is 84376084741.

It is a happy number.

14748067348 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×147480673482 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14748067295 and 14748067304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14748067343) 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 15 ways as a sum of consecutive naturals, for example, 387165 + ... + 423547.

It is an arithmetic number, because the mean of its divisors is an integer number (635701248).

Almost surely, 214748067348 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 14748067348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15256829952).

14748067348 is an abundant number, since it is smaller than the sum of its proper divisors (15765592556).

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

14748067348 is a wasteful number, since it uses less digits than its factorization.

14748067348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36892 (or 36890 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 52.

The spelling of 14748067348 in words is "fourteen billion, seven hundred forty-eight million, sixty-seven thousand, three hundred forty-eight".

Divisors: 1 2 4 7 14 28 31 62 124 217 434 467 868 934 1868 3269 6538 13076 14477 28954 36383 57908 72766 101339 145532 202678 254681 405356 509362 1018724 1127873 2255746 4511492 7895111 15790222 16990861 31580444 33981722 67963444 118936027 237872054 475744108 526716691 1053433382 2106866764 3687016837 7374033674 14748067348