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616144345 = 51753136769
BaseRepresentation
bin100100101110011…
…001110111011001
31120221101101010221
4210232121313121
52230213104340
6141050040041
721161066125
oct4456316731
91527341127
10616144345
11296885403
12152419021
139a85c06b
145bb8a585
153915b44a
hex24b99dd9

616144345 has 16 divisors (see below), whose sum is σ = 797642640. Its totient is φ = 455163904.

The previous prime is 616144343. The next prime is 616144363. The reversal of 616144345 is 543441616.

It can be written as a sum of positive squares in 8 ways, for example, as 23319241 + 592825104 = 4829^2 + 24348^2 .

It is a cyclic number.

It is not a de Polignac number, because 616144345 - 21 = 616144343 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 616144345.

It is not an unprimeable number, because it can be changed into a prime (616144343) 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, 63880 + ... + 72889.

It is an arithmetic number, because the mean of its divisors is an integer number (49852665).

Almost surely, 2616144345 is an apocalyptic number.

It is an amenable number.

616144345 is a deficient number, since it is larger than the sum of its proper divisors (181498295).

616144345 is a wasteful number, since it uses less digits than its factorization.

616144345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136844.

The product of its digits is 34560, while the sum is 34.

The square root of 616144345 is about 24822.2550345451. The cubic root of 616144345 is about 850.9306277834.

The spelling of 616144345 in words is "six hundred sixteen million, one hundred forty-four thousand, three hundred forty-five".

Divisors: 1 5 17 53 85 265 901 4505 136769 683845 2325073 7248757 11625365 36243785 123228869 616144345