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345182346016 = 2513778736849
BaseRepresentation
bin1010000010111100111…
…10001001101100100000
31012222222100111000111221
411001132132021230200
521123413140033031
6422324035344424
733636640346554
oct5013636115440
91188870430457
10345182346016
11123433487632
1256a94a52114
13267207556b1
14129c7ab9864
158ea411aa11
hex505e789b20

345182346016 has 24 divisors (see below), whose sum is σ = 684538173900. Its totient is φ = 171331381248.

The previous prime is 345182346013. The next prime is 345182346023. The reversal of 345182346016 is 610643281543.

It can be written as a sum of positive squares in 2 ways, for example, as 341313008400 + 3869337616 = 584220^2 + 62204^2 .

It is a super-2 number, since 2×3451823460162 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (345182346013) 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 3 ways as a sum of consecutive naturals, for example, 39364041 + ... + 39372808.

Almost surely, 2345182346016 is an apocalyptic number.

It is an amenable number.

345182346016 is a deficient number, since it is larger than the sum of its proper divisors (339355827884).

345182346016 is a wasteful number, since it uses less digits than its factorization.

345182346016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78736996 (or 78736988 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 43.

The spelling of 345182346016 in words is "three hundred forty-five billion, one hundred eighty-two million, three hundred forty-six thousand, sixteen".

Divisors: 1 2 4 8 16 32 137 274 548 1096 2192 4384 78736849 157473698 314947396 629894792 1259789584 2519579168 10786948313 21573896626 43147793252 86295586504 172591173008 345182346016