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516745141 = 112172291097
BaseRepresentation
bin11110110011001…
…110011110110101
31100000100101001221
4132303032132311
52024241321031
6123135350341
715543155413
oct3663163665
91300311057
10516745141
11245764300
121250823b1
1383098b73
144c8b42b3
1530574a11
hex1ecce7b5

516745141 has 24 divisors (see below), whose sum is σ = 604580760. Its totient is φ = 439802880.

The previous prime is 516745139. The next prime is 516745153. The reversal of 516745141 is 141547615.

It can be written as a sum of positive squares in 4 ways, for example, as 208918116 + 307827025 = 14454^2 + 17545^2 .

It is not a de Polignac number, because 516745141 - 21 = 516745139 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 516745097 and 516745106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516745111) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 470505 + ... + 471601.

It is an arithmetic number, because the mean of its divisors is an integer number (25190865).

Almost surely, 2516745141 is an apocalyptic number.

It is an amenable number.

516745141 is a deficient number, since it is larger than the sum of its proper divisors (87835619).

516745141 is a wasteful number, since it uses less digits than its factorization.

516745141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1365 (or 1354 counting only the distinct ones).

The product of its digits is 16800, while the sum is 34.

The square root of 516745141 is about 22732.0289679562. The cubic root of 516745141 is about 802.4638317308.

The spelling of 516745141 in words is "five hundred sixteen million, seven hundred forty-five thousand, one hundred forty-one".

Divisors: 1 11 17 121 187 229 1097 2057 2519 3893 12067 18649 27709 42823 132737 205139 251213 471053 2256529 2763343 4270621 30396773 46976831 516745141