Search a number
-
+
508078080753 = 3444138135411
BaseRepresentation
bin1110110010010111101…
…00000100001011110001
31210120102211112201210120
413121023310010023301
531311020442041003
61025224032320453
751464435300235
oct7311364041361
91716384481716
10508078080753
111865249160a1
12825763a3129
1338bb08cb809
141a83c0145c5
15d339e03853
hex764bd042f1

508078080753 has 8 divisors (see below), whose sum is σ = 677590000416. Its totient is φ = 338642440800.

The previous prime is 508078080733. The next prime is 508078080791. The reversal of 508078080753 is 357080870805.

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

It is not a de Polignac number, because 508078080753 - 26 = 508078080689 is a prime.

It is a super-3 number, since 3×5080780807533 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 508078080696 and 508078080705.

It is not an unprimeable number, because it can be changed into a prime (508078080733) 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, 19054383 + ... + 19081028.

It is an arithmetic number, because the mean of its divisors is an integer number (84698750052).

Almost surely, 2508078080753 is an apocalyptic number.

It is an amenable number.

508078080753 is a deficient number, since it is larger than the sum of its proper divisors (169511919663).

508078080753 is a wasteful number, since it uses less digits than its factorization.

508078080753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38139855.

The product of its (nonzero) digits is 1881600, while the sum is 51.

The spelling of 508078080753 in words is "five hundred eight billion, seventy-eight million, eighty thousand, seven hundred fifty-three".

Divisors: 1 3 4441 13323 38135411 114406233 169359360251 508078080753