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510042062041 = 10491777273617
BaseRepresentation
bin1110110110000001110…
…00000011110011011001
31210202111201010022122021
413123000320003303121
531324031231441131
61030150551254441
751564213665221
oct7330070036331
91722451108567
10510042062041
111873424a1326
1282a2407a421
1339134774515
141a986bb5081
15d40254de11
hex76c0e03cd9

510042062041 has 8 divisors (see below), whose sum is σ = 510817444200. Its totient is φ = 509267232768.

The previous prime is 510042062017. The next prime is 510042062051. The reversal of 510042062041 is 140260240015.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 92979255625 + 417062806416 = 304925^2 + 645804^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 510042062041 - 27 = 510042061913 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 510042061997 and 510042062015.

It is not an unprimeable number, because it can be changed into a prime (510042062051) 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 7 ways as a sum of consecutive naturals, for example, 1727265 + ... + 2000881.

It is an arithmetic number, because the mean of its divisors is an integer number (63852180525).

Almost surely, 2510042062041 is an apocalyptic number.

It is an amenable number.

510042062041 is a deficient number, since it is larger than the sum of its proper divisors (775382159).

510042062041 is a wasteful number, since it uses less digits than its factorization.

510042062041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276443.

The product of its (nonzero) digits is 1920, while the sum is 25.

The spelling of 510042062041 in words is "five hundred ten billion, forty-two million, sixty-two thousand, forty-one".

Divisors: 1 1049 1777 273617 1864073 287024233 486217409 510042062041